Question

If f(x) = `(1+2"x")^(1/"x)"` for x≠0 is continuous at x = 0 then f(0) =  _______.

Options

• e

• e²

• 0

• 2

Answer 1

e²

`"f"(0) = lim_("x" ->0)[(1+2"x")^(1/(2"x"))]^2`  = e²