Mark the correct alternative in the following: If f(x) = (x + 1) cotx be continuous at x = 0, then f(0) is equal to

Question

Philoid · Accepted Answer

Formula:- (i)standard limit and

(ii) A function f(x) is said to be continuous at a point x=a of its domain, iff

(iii) , where ,

Given:-

f(x) = (x + 1)^cotx

log f(x)=(cotx)(log(x+1))……………………………..taking log both sides

Using formula (iii)

Using standard limit formula (i)

f(0)=e