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If f(x) = (tanx)/(x-pi), then lim(xrarr(...

If `f(x) = (tanx)/(x-pi)`, then `lim_(xrarr(pi))f(x)=`……………….

A

`1`

B

`0`

C

`-1`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `f(x) = (tanx)/(x-pi)= lim_(xto(pi))(tanx)/(x-pi) = lim_(pi-xto0)(-tan(pi-x))/(-pi-x)` `[therefore lim_(xto0)(tanx)/(x) =1]`
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