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

The limit as x approaches 7 of 1/(x^2(x+7)) is 1/686

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

x \to 7 lim (\frac{1}{x ^{2} ( x + 7 )})

\frac{1}{686}

Decimal Notation

0.00145 \dots

Solution steps

x \to 7 lim (\frac{1}{x ^{2} ( x + 7 )})

Plug in the value

x = 7

= \frac{1}{7 ^{2} ( 7 + 7 )}

Simplify

= \frac{1}{686}

\frac{d}{d x} (a cos (2 x))

\int \frac{x}{x ^{2} + 8 x} d x

y = a x^{3}

\int_{0}^{1} \frac{ln ( t )}{t} d t

\int + x^{3} e^{3 x^{2}} d x

What is the limit as x approaches 7 of 1/(x^2(x+7)) ?
The limit as x approaches 7 of 1/(x^2(x+7)) is 1/686