Question

evaluate the following
Lt ( √1+x -1) / (3√1+x-1)
x->0​

Answer 1

x→0limx1+x−1.

Medium

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Solution

Verified by Toppr

x→0limx1+x−1

By using Rationalization

x→0limx1+x−1×1+x+11+x+1

x→0limx(1+x+1)(1−x)−1

=x→0limx(1+x+1)x

=1