limit as x approaches+0+of (36-4x^2)/x — step-by-step solution | Explain MAths

limit as x approaches+0+of (36-4x^2)/x

⚠ 4x is read as the product 4*x: for a power, write 4^x

Let's evaluate the limit of

\frac{36 - 4 x^{2}}{x}

when

x \to 0

⁺

The limit of

x^{2}

is

0

⁺ when

x \to 0

⁺

The limit of

- 4 x^{2}

is (

- 4 \cdot 0

)⁻ when

x \to 0

⁺

⇥Let's evaluate:

- 4 \cdot 0

⇥

0

The limit of

36 - 4 x^{2}

is

36

when

x \to 0

⁺

So the limit of

\frac{36 - 4 x^{2}}{x}

is

+∞

when

x \to 0

⁺

▶Limit:

+∞