What is the limit as x approaches 2 of (5x)/(4-x^2) ?

The limit as x approaches 2 of (5x)/(4-x^2) is diverges

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limit as x approaches 2 of (5x)/(4-x^2)

x \to 2 lim (\frac{5 x}{4 - x ^{2}})

diverges

Solution steps

x \to 2 lim (\frac{5 x}{4 - x ^{2}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 2 + lim (\frac{5 x}{4 - x ^{2}}) = - \infty

x \to 2 - lim (\frac{5 x}{4 - x ^{2}}) = \infty

= diverges

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

x \to \infty lim (x ln (1 + \frac{3}{x}))

x \to - \infty lim (ln (0))

x \to π - lim (x cot (x))

x \to 1 lim (1 + 3 x - 1)

What is the limit as x approaches 2 of (5x)/(4-x^2) ?
The limit as x approaches 2 of (5x)/(4-x^2) is diverges