What is the limit as x approaches 0 of x/(-2x^5+15x) ?

The limit as x approaches 0 of x/(-2x^5+15x) is 1/15

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limit as x approaches 0 of x/(-2x^5+15x)

x \to 0 lim (\frac{x}{- 2 x ^{5} + 15 x})

\frac{1}{15}

Decimal

0.06666 \dots

Solution steps

x \to 0 lim (\frac{x}{- 2 x ^{5} + 15 x})

Simplify

\frac{x}{- 2 x ^{5} + 15 x} : \frac{1}{- 2 x ^{4} + 15}

= x \to 0 lim (\frac{1}{- 2 x ^{4} + 15})

Plug in the value

x = 0

= \frac{1}{- 2 \cdot 0 ^{4} + 15}

Simplify

= \frac{1}{15}

\int (1 - x) e^{x} d x

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

\int_{0}^{4} (5 - t) t d t

\frac{d}{d x} ((sin (2 x))^{2})

\int_{- 5}^{0} ∣ x + 3 ∣ d x

What is the limit as x approaches 0 of x/(-2x^5+15x) ?
The limit as x approaches 0 of x/(-2x^5+15x) is 1/15