Let f be the function defined by
(sin^2x)/x^α , x > 0
f(x) = { γ , x = 0
(e^|β|)− 1, x < 0
with parameters α, β, γ ∈ R.
a) For which values of the parameters is the function f continuous on its domain?
b) For which values of the parameters is the function f differentiable at x = 0?
