Calculus Examples

$lim_{a \to 1} a {(a - 1)}^{- 1}$

Step 1

Simplify the limit argument.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$lim_{a \to 1} a \frac{1}{a - 1}$

Step 1.2

Combine $a$ and $\frac{1}{a - 1}$ .

$lim_{a \to 1} \frac{a}{a - 1}$

Step 2

Since the function approaches $- \infty$ from the left and $\infty$ from the right, the limit does not exist.

$Does not exist$