`lim_(x->0)((x+1)^5-1)/x`

Explanation

To solve the limit \( \lim_{x \to 0} \frac{(x+1)^5 - 1}{x} \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the limit:
\[ \lim_{x \to 0} \frac{(x+1)^5 - 1}{x} \]
This expression is in the indeterminate form \( \frac{0}{0} \) when we substitute \( x = 0 \). We can use the binomial expansion or the derivative approach to evaluate this limit.
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