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If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{((1-cos 4x)/(x^(2))", for " x lt 0),(k", for " x =0),((sqrt(x))/(sqrt(16+sqrt(x))-4)", for " x gt 0):}`, then `k=`

A

2

B

0

C

4

D

8

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The correct Answer is:
D
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  16. If f(x) is continuous at x=0, where f(x){:{((1)/(1+e^(1/x))", for " x...

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  17. The function f(x)=k ( k in R) at every x in R is

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  18. The composition of two continuous functions is a continuous function.

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