What is the limit as x approaches 7 of x/(x^2+7) ?

The limit as x approaches 7 of x/(x^2+7) is 1/8

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limit as x approaches 7 of x/(x^2+7)

x \to 7 lim (\frac{x}{x ^{2} + 7})

\frac{1}{8}

Decimal

0.125

Solution steps

x \to 7 lim (\frac{x}{x ^{2} + 7})

Plug in the value

x = 7

= \frac{7}{7 ^{2} + 7}

Simplify

\frac{7}{7 ^{2} + 7} : \frac{1}{8}

= \frac{1}{8}

x \to \infty lim (2 \cdot x)

n = 1 \sum \infty \frac{n !}{11 0 ^{n}}

n = 1 \sum \infty \frac{9 n}{4 n + 1}

\frac{s + 1}{( s + 1 ) ( s + 1 ) + 4}

\frac{\partial}{\partial y} (4 x^{2} y^{3} - 1)

What is the limit as x approaches 7 of x/(x^2+7) ?
The limit as x approaches 7 of x/(x^2+7) is 1/8