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If f(x)={{:((x)/(sinx),xgt0),(2-x,xle0):...

If `f(x)={{:((x)/(sinx),xgt0),(2-x,xle0):} and g(x) ={{:(x+3,xlt1),(x^2-2x-2,1lexlt2),(x-5,xge2):}` then the value of `lim_(xrarr0) g(f(x))`

A

is -2

B

is -3

C

is 1

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
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