Given-the-function-f-defined-by-f-x-2e-x-e-x-1-x-0-0-x-0-i-study-the-differentiability-of-f-at-x-0-ii-Show-that-the-point-0-1-is-the-centre-of-symetry-to-the-cur

Question Number 141340 by physicstutes last updated on 17/May/21

Given the function f defined by

f (x) = {\begin{cases} \frac{2 e^{x}}{e^{x} - 1}, x \neq 0 \\ 0, x = 0 \end{cases}

(i) study the differentiability of f at x = 0 .

(ii) Show that the point (0, 1) is the centre of symetry to the

curve of f .