What is the limit as x approaches 0 of (3x^2+5x)/x ?

The limit as x approaches 0 of (3x^2+5x)/x is 5

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limit as x approaches 0 of (3x^2+5x)/x

x \to 0 lim (\frac{3 x ^{2} + 5 x}{x})

5

Solution steps

x \to 0 lim (\frac{3 x ^{2} + 5 x}{x})

Simplify

\frac{3 x ^{2} + 5 x}{x} : 3 x + 5

= x \to 0 lim (3 x + 5)

Plug in the value

x = 0

= 3 \cdot 0 + 5

Simplify

= 5

y^{^{''}} - y^{^{'}} - 2 y = e^{2 x}

\int x^{3} x - 2 d x

\frac{d}{d x} (x^{3} - 5 x^{2} + 4 x - 20 - 5 e^{3 x})

\frac{d}{d t} (tan (cos (2 t)))

\frac{d}{d x} (x^{5} + 2 x^{3} - x^{2})

What is the limit as x approaches 0 of (3x^2+5x)/x ?
The limit as x approaches 0 of (3x^2+5x)/x is 5