Question

Estimate the value of the limit to five decimal places. lim_(x->0) (1+x)^(1\/x)

Answer 1

`e\approx2.71828`

Explanation:

I assume you mean
`\lim_(x \to 0) (1+x)^{(1)/(x)}`, which is just the definition of the constant
`e`, also known as Euler's Number.