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lim(xrarr0) (sqrt(1+x)-1)/(x) is equal t...

`lim_(xrarr0) (sqrt(1+x)-1)/(x)` is equal to

A

`1//2`

B

`2`

C

`0`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
` lim_(x to 0) (sqrt(1+x-1))/(x) =lim_(xto0)(x)/(x{sqrt(1+x+1)})=lim_(xto 0) (1)/(sqrt(1+x)+1)=(1)/(2)`
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