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

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

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

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

2

Solution steps

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

Simplify

\frac{2 x - 5 x ^{2}}{x} : 2 - 5 x

= x \to 0 lim (2 - 5 x)

Plug in the value

x = 0

= 2 - 5 \cdot 0

Simplify

= 2

t \to 12 + lim (f (t))

x \to - 2 lim (62 x^{5})

x \to - 1 lim (2 x^{3} + 3 x^{2} - 5)

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

x \to 2 lim (\frac{x ^{3} + 4 x ^{2}}{x ^{2} + 2 x - 8})

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