यदि फलन f(x)={{:((1)/(x)"log"(e)((1+(x)...

यदि फलन ` f(x)={{:((1)/(x)"log"_(e)((1+(x)/(a))/(1-(x)/(b))),","x lt 0 ),(k",",x=0),((cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1)",", x gt 0):}` x=0 पर संतत है, तो `(1)/(a)+(1)/(b)+(4)/(k)` बराबर है :

A

4

B

5

C

`-4`

D

`-5`

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