Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

solve
question image
Asked by sarveshvibrantacademy | 17 May, 2019, 09:33: AM
answered-by-expert Expert Answer
f left parenthesis x right parenthesis space c a n space b e space r e w r i t t e n space a s f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell b subscript n plus cos pi x comma space space space f o r space x element of left parenthesis 2 n minus 1 comma space 2 n right parenthesis end cell row cell a subscript n plus sin pi x comma space space space space f o r space x element of left square bracket 2 n comma space 2 n plus 1 right square bracket space end cell end table close A t space x equals 2 n F o r space l e f t space h a n d space l i m i t comma space l e t space x equals 2 n minus h comma space a s space x rightwards arrow 2 n comma space h rightwards arrow 0 L H L equals limit as h rightwards arrow 0 of space b subscript n plus cos pi left parenthesis 2 n minus h right parenthesis equals b subscript n plus cos 2 n pi equals b subscript n plus 1 F o r space r i g h t space h a n d space l i m i t comma space l e t space x equals 2 n plus h comma space a s space x rightwards arrow 2 n comma space h rightwards arrow 0 R H L equals limit as h rightwards arrow 0 of space a subscript n plus sin pi left parenthesis 2 n plus h right parenthesis equals a subscript n plus sin 2 n pi equals a subscript n S i n c e comma space f space i s space c o n t i n u o u s rightwards double arrow L H L equals f left parenthesis 2 n right parenthesis equals R H L rightwards double arrow b subscript n plus 1 equals a subscript n equals a subscript n rightwards double arrow b subscript n plus 1 equals a subscript n rightwards double arrow a subscript n minus b subscript n equals 1 space.... space left parenthesis i right parenthesis A t space x equals 2 n plus 1 F o r space l e f t space h a n d space l i m i t comma space l e t space x equals 2 n plus 1 minus h comma space a s space x rightwards arrow 2 n plus 1 comma space h rightwards arrow 0 L H L equals limit as h rightwards arrow 0 of space a subscript n plus sin pi left parenthesis 2 n plus 1 minus h right parenthesis equals b subscript n plus sin left parenthesis 2 n plus 1 right parenthesis pi equals a subscript n F o r space r i g h t space h a n d space l i m i t comma space l e t space x equals 2 n plus 1 plus h comma space a s space x rightwards arrow 2 n plus 1 comma space h rightwards arrow 0 R H L equals limit as h rightwards arrow 0 of space b subscript n plus 1 end subscript plus cos pi left parenthesis 2 n plus 1 plus h right parenthesis equals b subscript n plus 1 end subscript plus cos left parenthesis 2 n plus 1 right parenthesis pi equals b subscript n plus 1 end subscript minus 1 S i n c e comma space f space i s space c o n t i n u o u s rightwards double arrow L H L equals f left parenthesis 2 n plus 1 right parenthesis equals R H L rightwards double arrow a subscript n equals a subscript n equals b subscript n plus 1 end subscript minus 1 rightwards double arrow a subscript n equals b subscript n plus 1 end subscript minus 1 rightwards double arrow a subscript n minus b subscript n plus 1 end subscript equals negative 1 space.... space left parenthesis i i right parenthesis F o r m space left parenthesis i right parenthesis comma space o p t i o n space B space i s space c o r r e c t F r o m space left parenthesis i i right parenthesis comma space o p t i o n space D thin space i s space c o r r e c t.
Answered by Renu Varma | 20 May, 2019, 11:10: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
in how many ways a team of 2 boys and 4 girls selected from 5 boys and 6 girls
Asked by pallavibirangal87 | 08 Dec, 2024, 10:18: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
if a chord of length 18 cm is 12 cm away from the centre then find the distance of 24 cm long chord from the centre
Asked by pritisindra6 | 06 Dec, 2024, 21:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
The number of ways in which at least one coin can be selected from 3 coins of one rupee, 4 coins of fifty paise, 5 coins of twenty paise and 6 coins of ten paise is-
Asked by kanishthkumawat | 29 Nov, 2024, 00:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
what is range of tan^-1 x
Asked by pawandhayal125 | 06 Oct, 2024, 10:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
what is 2+2
Asked by srishtipra2008 | 28 Sep, 2024, 10:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
n arithmetic means are inserted between the numbers 7 and 49. if the sum of these means is 364 then the sum of their squares is
Asked by yogeshsoni575 | 23 Sep, 2024, 23:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
consider a dodecagon then number of ways of selecting two triangles which can be made using the vertices of dodecagon so that they do not have a common side.
Asked by sumit.parsudih | 17 Sep, 2024, 22:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
the sum of infinite series 1/2(1/3+1/4)-1/4(1/3^2+1/4^2)+1/6(1/3^3+1/4^3)+
Asked by pritamlovevanshi5 | 15 Sep, 2024, 08:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solve the equation 6x-y+3z=10 , 3x+6y=18 , x+y+5z=-10 by jacobis method with (3,0,-2) as the initial approcimate to the solution
Asked by ganeshbabugottapu7 | 12 Sep, 2024, 18:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
find the inverse of a Matrix by using gauss Jordan method -2. 1. 3 A = 0. -1. 1 1. 2. 0
Asked by ganeshbabugottapu7 | 10 Sep, 2024, 07:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt