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If f(x)={(log((1+x/b)/(1-x/a))/x,,xlt0),...

If `f(x)={(log((1+x/b)/(1-x/a))/x,,xlt0),(k,,x=0),((cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),,x gt0):}` is continuous at x=0 then the value of `1/a+1/b+4/k` is

A

0

B

-1

C

-5

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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