Mark the correct alternative in the following:

If f(x) = (x + 1)^{cotx} be continuous at x = 0, then f(0) is equal to

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

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