Discussion Forum



1)

 If $f(x)= (1+x)^{2/x}$  for x≠0 and f(0)= e2 is


A) left continuous only at x=0

B) right continuous at x=0

C) continuous x=0

D) discontinuous at x=0

Answer:

Option C

Explanation:

 $\lim_{x \rightarrow 0}f(x)=\lim_{x \rightarrow 0}[(1+x)^{1/x}]^{2}=e^{2}= f(0)$