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

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

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

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

- \infty

Solution steps

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

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

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

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

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

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

(2 cos (2 x))^{^{'}}

3 s + 2

x \to \infty lim (e^{x} - 3)

\frac{d}{d x} (\frac{z ( x )}{x})

\int_{0}^{2} (y - 2)^{2} d y

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