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

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

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

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

\frac{1}{8}

Decimal Notation

0.125

Solution steps

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

Plug in the value

x = 1

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

Simplify

= \frac{1}{8}

y^{^{''}} + 6 y^{^{'}} + 10 y = 0

\int (\frac{2}{1 - x} + \frac{( ln ( x ) ) ^{2}}{x}) d x

\int (8 x^{3} - 10 x^{- 6}) d x

\frac{\partial}{\partial x} (e^{x y} ln (y))

\frac{\partial}{\partial x} (x e^{x})

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