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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