Evaluate `underset(xrarr2)Lim(f(x)-f(2))/(x-2)` where `f(x) = x^4 + 2x^3`.

Evaluate underset(xrarr0)lim (2^(x+3)-8)/(x) .

Evaluate: underset(xrarr2)lim (x^3-4x^2+4x)/(x^2-4) .

Evaluate: underset(xrarr1)lim (3x^2-2x-10)/(x^2-4) .

Evaluate: underset(xrarr0)lim (1-cos2x)/(3tan^2x)

Evaluate: underset(xrarr0)lim (sqrt(1+2x)-sqrt(1-2x))/(x)

underset(xrarr0)lim (sin4x)/(sin2x) is:

Let f(x) be a differentiable function and f'(4) = 5, then: underset(xrarr2)lim(f(4)-f(x^2))/(x-2) equals:

underset(xrarr2)lim (x^3-x^2+1) is equal to:

Evaluate: underset(-2)overset(2)int(f(x) dx where f(x) = {:{(2x-1,-2lexle1),(3x-2,1lexle2)

Let F(2)=4 and f'(2)=4 then underset(xrarr2)lim (xf(2)-2f'(2))/(x-2) is equal to: