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lim(xrarr0) ((x+1)^(5)-1)/(x)...

`lim_(xrarr0) ((x+1)^(5)-1)/(x)`

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To solve the limit \( \lim_{x \to 0} \frac{(x+1)^5 - 1}{x} \), we can follow these steps: ### Step 1: Substitute the limit First, we substitute \( x = 0 \) into the expression: \[ \frac{(0+1)^5 - 1}{0} = \frac{1 - 1}{0} = \frac{0}{0} \] This is an indeterminate form, so we can apply L'Hôpital's Rule. ...
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