What is the limit as x approaches 0-of (x+1)/(x^2) ?

The limit as x approaches 0-of (x+1)/(x^2) is infinity

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limit as x approaches 0-of (x+1)/(x^2)

x \to 0 - lim (\frac{x + 1}{x ^{2}})

\infty

Solution steps

x \to 0 - lim (\frac{x + 1}{x ^{2}})

\frac{x + 1}{x ^{2}} = (x + 1) \frac{1}{x ^{2}}

= x \to 0 - lim ((x + 1) \frac{1}{x ^{2}})

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 0 - lim (x + 1) \cdot x \to 0 - lim (\frac{1}{x ^{2}})

x \to 0 - lim (x + 1) = 1

x \to 0 - lim (\frac{1}{x ^{2}}) = \infty

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int 17 sin^{3} (x co) s^{2} x d x

\frac{d y}{d x} = 1 0^{- 21} \cdot y^{3}

y = e^{a r c t a n (3 t^{2})}

\frac{d}{d x} (5 x sin (π x))

\frac{d}{d x} (\frac{3000}{x + 3600 x ^{- 1}})

What is the limit as x approaches 0-of (x+1)/(x^2) ?
The limit as x approaches 0-of (x+1)/(x^2) is infinity