What is the limit as x approaches 0-of x/(8x^4+2x) ?

The limit as x approaches 0-of x/(8x^4+2x) is 1/2

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limit as x approaches 0-of x/(8x^4+2x)

x \to 0 - lim (\frac{x}{8 x ^{4} + 2 x})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to 0 - lim (\frac{x}{8 x ^{4} + 2 x})

Simplify

\frac{x}{8 x ^{4} + 2 x} : \frac{1}{2 ( 4 x ^{3} + 1 )}

= x \to 0 - lim (\frac{1}{2 ( 4 x ^{3} + 1 )})

Plug in the value

x = 0

= \frac{1}{2 ( 4 \cdot 0 ^{3} + 1 )}

Simplify

= \frac{1}{2}

x \to 3 - lim ((x - 2)^{3})

\frac{0.9}{0.1 s ^{2} + s + 0.9}

\int \frac{5 + x}{x} d x

\int csc^{2} (x) - 1 d x

\int e^{(1 + n) x} d x

What is the limit as x approaches 0-of x/(8x^4+2x) ?
The limit as x approaches 0-of x/(8x^4+2x) is 1/2