What is the limit as x approaches 0+of x/(15x^4+12x) ?

The limit as x approaches 0+of x/(15x^4+12x) is 1/12

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limit as x approaches 0+of x/(15x^4+12x)

x \to 0 + lim (\frac{x}{15 x ^{4} + 12 x})

\frac{1}{12}

Decimal Notation

0.08333 \dots

Solution steps

x \to 0 + lim (\frac{x}{15 x ^{4} + 12 x})

Simplify

\frac{x}{15 x ^{4} + 12 x} : \frac{1}{3 ( 5 x ^{3} + 4 )}

= x \to 0 + lim (\frac{1}{3 ( 5 x ^{3} + 4 )})

Plug in the value

x = 0

= \frac{1}{3 ( 5 \cdot 0 ^{3} + 4 )}

Simplify

= \frac{1}{12}

x \to 2 lim (\frac{x ^{2} - 4}{x - 3})

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

6 t

\frac{d}{d x} (\frac{4}{1 - x})

y^{^{'}} = 13 y - y^{2} - 40

What is the limit as x approaches 0+of x/(15x^4+12x) ?
The limit as x approaches 0+of x/(15x^4+12x) is 1/12