What is the limit as x approaches 7+of x/(x^2-49) ?

The limit as x approaches 7+of x/(x^2-49) is infinity

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limit as x approaches 7+of x/(x^2-49)

x \to 7 + lim (\frac{x}{x ^{2} - 49})

\infty

Solution steps

x \to 7 + lim (\frac{x}{x ^{2} - 49})

\frac{x}{x ^{2} - 49} = x \frac{1}{x ^{2} - 49}

= x \to 7 + lim (x \frac{1}{x ^{2} - 49})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 7 + lim (x) \cdot x \to 7 + lim (\frac{1}{x ^{2} - 49})

x \to 7 + lim (x) = 7

x \to 7 + lim (\frac{1}{x ^{2} - 49}) = \infty

= 7 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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x \to 0 lim (\frac{tan ( 3 x ) cos ( 2 x )}{x})

x \to \infty lim (16 x)

x \to 3 lim (6 x^{2} - 4 x + 1)

x \to 0 lim (\frac{3 x}{e ^{x} - 1})

What is the limit as x approaches 7+of x/(x^2-49) ?
The limit as x approaches 7+of x/(x^2-49) is infinity