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Let f(x) ={{:(x+1,xgt0),(2-x,xle0):}and ...

Let `f(x) ={{:(x+1,xgt0),(2-x,xle0):}and g(g) ={{:(x+3,xlt1),(x^2-2x-2,1lexlt2),(x-5,xge2):}` then `lim_(x rarr0) g(f(x))` is

A

2

B

1

C

`-3`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
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