Examine continuity of function f(x) = e1/x-1 / e1/x+1 at x=0 - Maths - Continuity and Differentiability

Question

Examine continuity of function f(x) = e1/x-1 /
e1/x+1 at x=0

Sunanta Meitei · Accepted Answer

Hi! Here is the answer to your question

So, LHL at x = 0 Consider the right hand limit, RHL at x = 0

Since, LHL ¹ RHL at x = 0 Thus, f (x) is not continuous at x = 0 Cheers!