What is the limit as x approaches 2-of (10)/(x^2-4) ?

The limit as x approaches 2-of (10)/(x^2-4) is -infinity

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limit as x approaches 2-of (10)/(x^2-4)

x \to 2 - lim (\frac{10}{x ^{2} - 4})

- \infty

Solution steps

x \to 2 - lim (\frac{10}{x ^{2} - 4})

For

x

approaching

2

from the left

, x < 2 \Rightarrow x^{2} - 4 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 0 lim (x cot (π x))

x \to 4 lim (3 x^{2} - 2 x + 6)

x \to 0 + lim (x cot (x))

x \to 0 lim (∣ x ∣)

y \to \infty lim (\frac{3 + \frac{2}{y ^{3}} - 3 y ^{4}}{9 y ^{4} - \frac{5}{y ^{2}} - 3})

What is the limit as x approaches 2-of (10)/(x^2-4) ?
The limit as x approaches 2-of (10)/(x^2-4) is -infinity