Calculus Examples

$lim_{n \to 8} \frac{1}{n (n + 1)}$

Step 1

Split the limit using the Limits Quotient Rule on the limit as $n$ approaches $8$ .

$\frac{lim_{n \to 8} 1}{lim_{n \to 8} n (n + 1)}$

Step 2

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

$\frac{1}{lim_{n \to 8} n (n + 1)}$

Step 3

Evaluate the limits by plugging in $8$ for all occurrences of $n$ .

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Step 3.1

Evaluate the limit of $n (n + 1)$ by plugging in $8$ for $n$ .

$\frac{1}{n (8 + 1)}$

Step 3.2

Add $8$ and $1$ .

$\frac{1}{n (9)}$