Calculus Examples

$\frac{lim_{x \to 8} 1 - \coth (x)}{1 - \tanh (x)}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $8$ .

$\frac{lim_{x \to 8} 1 - lim_{x \to 8} \coth (x)}{1 - \tanh (x)}$

Step 1.2

Evaluate the limit of $1$ which is constant as $x$ approaches $8$ .

$\frac{1 - lim_{x \to 8} \coth (x)}{1 - \tanh (x)}$

Step 2

Evaluate the limit of $\coth (x)$ by plugging in $8$ for $x$ .

$\frac{1 - \coth (8)}{1 - \tanh (x)}$