What is the limit as x approaches 0-of (14x^3+15x)/x ?

The limit as x approaches 0-of (14x^3+15x)/x is 15

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limit as x approaches 0-of (14x^3+15x)/x

x \to 0 - lim (\frac{14 x ^{3} + 15 x}{x})

15

Solution steps

x \to 0 - lim (\frac{14 x ^{3} + 15 x}{x})

Simplify

\frac{14 x ^{3} + 15 x}{x} : 14 x^{2} + 15

= x \to 0 - lim (14 x^{2} + 15)

Plug in the value

x = 0

= 14 \cdot 0^{2} + 15

Simplify

= 15

ln (\frac{1}{3} (2 + e^{- 3 x}))

y^{^{''}} - 4 y + 4 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

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\int_{0.5}^{1} 1.5 x^{2} d x

What is the limit as x approaches 0-of (14x^3+15x)/x ?
The limit as x approaches 0-of (14x^3+15x)/x is 15