Aditya Gupta
Last Activity: 6 Years ago
f(0)= Limit n tends to infinity (1+0 )^n
=Limit n tends to infinity (1)^n
=1
now, whenever x is less than zero, 1+x would be less than 1, so Limit n tends to infinity (1+x )^n would be zero. hence when x will approach 0 from lhs, f(x) would be zero
therefore f(x) is not continuous at 0