Request a call back

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

CBSE Class 12-science Answered

How to find identify the correct substitution for x in a given limit.Is double substitution possible for x like one substituion for root index blank of x and for x.
Asked by royalekawasaki | 13 Jul, 2015, 10:11: PM
answered-by-expert Expert Answer
The substitution in a given limit depends on the expression. We use a substitution which will simplify the given expression. 
For example, to find 
stack l i m with x rightwards arrow 0 below fraction numerator 2 square root of x over denominator 1 plus x end fraction
w e space c a n space u s e space s u b s t i t u t i o n space x equals tan squared theta
w h e n space x rightwards arrow 0 comma space tan squared theta rightwards arrow 0 comma space theta rightwards arrow 0 S o space t h e space l i m i t space b e c o m e s stack l i m with theta rightwards arrow 0 below fraction numerator 2 tan theta over denominator 1 plus tan squared theta end fraction equals stack l i m with theta rightwards arrow 0 below sin 2 theta equals 0
 
But in the same limit we cant use different substitution for sqrt(x) and (x). 
If we can split the limit and write it as lim(x->a) f(x) + g(x) , then for f(x) and g(x) we can use two different substitutions. 
 
Answered by satyajit samal | 14 Jul, 2015, 10:35: AM

Concept Videos

CBSE 12-science - Maths
Asked by sdmbotch1123 | 19 Sep, 2023, 01:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sdmbotch1123 | 10 Apr, 2023, 10:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by varma.renu9481 | 13 Mar, 2023, 11:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by w3ctiger | 12 Feb, 2023, 11:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by joymaibam38 | 26 Dec, 2021, 09:04: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by naikmanjuank | 17 Sep, 2020, 11:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sshas3199 | 23 Aug, 2020, 09:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by raiannu064 | 16 Jan, 2020, 01:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by lovemaan5500 | 04 Jan, 2020, 11:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×