x + $$\frac{x^3}{3}$$  + $$\frac{2x^5}{15}$$  +...... $$\infty$$  is the series of

f(a)+xf'(a)+ $$\frac{x^2}{2!}$$  f''(a)+ $$\frac{x^3}{3!}$$  f'"(a)+.............=?

By using L'Hospital's rule evaluate $$\lim_{x\rightarrow y}$$  tan3x/sin2x=

$$\lim_{x\rightarrow a}$$   $$\frac{x^n-a^n}{x-a}$$  =

Evaluate $$\lim_{x\rightarrow0}$$   $$\frac{\log x^2}{\cot x^2}$$  =

$$\log_ab=$$  

$$\lim_{x\rightarrow\infty}$$   $$x^{2^{ }}e^{-x}$$  =?

$$\frac{d}{dx}$$   $$\left(y^y\right)$$  =