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

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

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

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

2

Solution steps

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

Simplify

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

= x \to 0 lim (2 + x)

Plug in the value

x = 0

= 2 + 0

Simplify

= 2

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\frac{s ^{4} + 1}{s ^{3} - s}

\int sin (8 x) cos (4 x) d x

f (x) = \frac{4 x}{x - 3}, at x = 5

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