What is the limit as x approaches 0-of 3-4/x ?

The limit as x approaches 0-of 3-4/x is infinity

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limit as x approaches 0-of 3-4/x

x \to 0 - lim (3 - \frac{4}{x})

\infty

Solution steps

x \to 0 - lim (3 - \frac{4}{x})

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

With the exception of indeterminate form

= x \to 0 - lim (3) - x \to 0 - lim (\frac{4}{x})

x \to 0 - lim (3) = 3

x \to 0 - lim (\frac{4}{x}) = - \infty

= 3 - (- \infty)

Simplify

3 - (- \infty) : \infty

= \infty

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\int \frac{e ^{2 x}}{5 + e ^{x}} d x

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x^{3} (1 - x)^{100} + x^{4} - 5 π

\frac{d}{d x} (3 x^{3} - 64 x)

What is the limit as x approaches 0-of 3-4/x ?
The limit as x approaches 0-of 3-4/x is infinity