Calculus Examples

$lim_{x \to 1} \frac{1}{x}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $1$ .

$\frac{lim_{x \to 1} 1}{lim_{x \to 1} x}$

Step 1.2

Evaluate the limit of $1$ which is constant as $x$ approaches $1$ .

$\frac{1}{lim_{x \to 1} x}$

Step 2

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$\frac{1}{1}$

Step 3

Divide $1$ by $1$ .

$1$