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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Ashish Sharma posted an Question
May 25, 2020 • 21:59 pm
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10 points
10 points
- IIT JAM
- Mathematics (MA)
Q.47 let f(x) = 1x(1+|1-z) cos for x#1. then 1-x ta] limr fa) = 0 b lim,-1 f(x) does not exist ic] limt fa) = 0 d] lim-t fx) does not exist
Q.47 Let f(x) = 1x(1+|1-z) Cos for x#1. Then 1-x TA] limr fa) = 0 B lim,-1 f(x) does not exist IC] limt fa) = 0 D] lim-t fx) does not exist
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Srinath![best-answer]()
Option A and option D. When x approaches 1 from the left, it is lesser than 1, therefore |1-x| = 1-x. Use this substitution, and you will see that, the limit reduces to 0. When x approaches from the right, x is greater than 1, therefore, |1-x| = -(1-x). Use this substitution, and you will see that the limit doesn't exist.