Home » » If ex = 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + .......

# If ex = 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + .......

### Question

If ex = 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + .....Find $$\frac{1}{e^x}$$

### Options

A) 1 - $$\frac{x}{2}$$ + $$\frac{x^2}{1.2^3}$$ + $$\frac{x^3}{2^4.3}$$ + .........

B) 1 - $$\frac{x}{2}$$ + $$\frac{x^2}{1.2^3}$$ + $$\frac{x^4}{2.4.3}$$ + ..

C) 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + $$\frac{x^4}{1.23.4}$$ + .........

D) 1 - x + $$\frac{x^2}{1.2^3}$$ + $$\frac{x^3}{2^4.3}$$ + .........

E) 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2^3}$$ + $$\frac{x^4}{1.2.6}$$ + .........

ex = 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + $$\frac{x^4}{1.23.4}$$
• ex = 1 + $$\frac{x}{2}$$ + $$\frac{x^2}{1.2}$$ + $$\frac{x^3}{1.2.3}$$ + $$\frac{x^4}{1.23.4}$$