Ask a Doubt
Request a call back

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

JEE Class main Answered

Sir pls solve the following.
question image
Asked by rsudipto | 04 Jan, 2019, 07:16: PM
answered-by-expert Expert Answer
begin mathsize 12px style limit as x rightwards arrow 0 of space fraction numerator ln left parenthesis x plus a right parenthesis minus ln left parenthesis a right parenthesis over denominator x end fraction space equals space limit as x rightwards arrow 0 of fraction numerator ln begin display style fraction numerator x plus a over denominator a end fraction end style over denominator x end fraction space equals space limit as x rightwards arrow 0 of fraction numerator ln open parentheses 1 plus begin display style x over a end style close parentheses over denominator x end fraction space space equals space 1 over a end style
begin mathsize 12px style L e t space x minus e space equals space y limit as x rightwards arrow e of fraction numerator ln space x space minus 1 over denominator x minus e end fraction space equals space limit as y rightwards arrow 0 of fraction numerator ln left parenthesis y plus e right parenthesis minus ln e over denominator y end fraction space equals space limit as y rightwards arrow 0 of fraction numerator ln open parentheses 1 plus begin display style y over e end style close parentheses over denominator y end fraction space equals space 1 over e end style
 
begin mathsize 12px style limit as x rightwards arrow 0 of space fraction numerator ln left parenthesis x plus a right parenthesis minus ln left parenthesis a right parenthesis over denominator x end fraction space end style + k begin mathsize 12px style limit as x rightwards arrow e of fraction numerator ln space x space minus 1 over denominator x minus e end fraction space space equals space 1 over a space plus space k over e space equals space 1 end style
 
hence k = begin mathsize 12px style e space open parentheses 1 space minus space 1 over a close parentheses end style
Answered by Thiyagarajan K | 07 Jan, 2019, 03:58: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
answer
question image
Asked by kantarathi293 | 04 May, 2024, 11:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
X²+2X-3≤0 solve following inequalities over the set of real number 
Asked by aniyoggavhane38 | 03 May, 2024, 09:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
let (-2-i/3) ^3
question image
Asked by priyadharshinigopinath27 | 03 May, 2024, 08:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
maths sum
question image
Asked by keerthananukala2007 | 02 May, 2024, 11:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
I didn't understand thid
question image
Asked by amrutmasaguppi1108 | 01 May, 2024, 11:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
the probability of attending a conference is 0.5, and the probability of attending a workshop is 0.3. if 40% of conference attendees also attend workshops, what is the probability that a student attends a workshop given that they attended a conference?
Asked by ms9876tr | 28 Apr, 2024, 12:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
a+bx e power of y/x =x then d square y by dx square
Asked by jameelmohd765 | 27 Apr, 2024, 10:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
find
question image
Asked by komuravellysravanthi4 | 26 Apr, 2024, 02:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solution please
question image
Asked by piyurawriya | 24 Apr, 2024, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
answer
question image
Asked by piyurawriya | 23 Apr, 2024, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×