What is the limit as x approaches 1 of x/(x^2+4) ?

The limit as x approaches 1 of x/(x^2+4) is 1/5

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limit as x approaches 1 of x/(x^2+4)

x \to 1 lim (\frac{x}{x ^{2} + 4})

\frac{1}{5}

Decimal

0.2

Solution steps

x \to 1 lim (\frac{x}{x ^{2} + 4})

Plug in the value

x = 1

= \frac{1}{1 ^{2} + 4}

Simplify

= \frac{1}{5}

y = (4 x^{3} + 5) (x^{4} - 3 x)

n = 1 \sum \infty n + \frac{1}{n ^{2}}

\frac{d y}{d x} = 2 x

\int_{1}^{5} π (x - 1) d x

n = 1 \sum \infty n 7

What is the limit as x approaches 1 of x/(x^2+4) ?
The limit as x approaches 1 of x/(x^2+4) is 1/5