Question

Examine continuity of the function f(x) at x = 0, where

`f(x) = (10^x + 7^x - 14^x - 5^x)/(1-cos 4x) , " for " x != 0`

`= 10/7 , " for"  x = 0`

Answer 1

`f(0) = 10/7` ....(given)

Since `lim_(x->0) f(x) != f(0)`, f is discontinuous at x = 0.