What is the limit as x approaches 0 of (8x^2+3x)/x ?

The limit as x approaches 0 of (8x^2+3x)/x is 3

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limit as x approaches 0 of (8x^2+3x)/x

x \to 0 lim (\frac{8 x ^{2} + 3 x}{x})

3

Solution steps

x \to 0 lim (\frac{8 x ^{2} + 3 x}{x})

Simplify

\frac{8 x ^{2} + 3 x}{x} : 8 x + 3

= x \to 0 lim (8 x + 3)

Plug in the value

x = 0

= 8 \cdot 0 + 3

Simplify

= 3

x \to 0 lim (cos^{x} (x))

x \to a lim (x^{2} - 2 a x + a^{2})

x \to 3 lim (\frac{x}{2})

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

x \to 1 lim ((x^{2} - 3 x)^{6})

What is the limit as x approaches 0 of (8x^2+3x)/x ?
The limit as x approaches 0 of (8x^2+3x)/x is 3