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}})

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

then

x \to a lim f (x) = L

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

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

= - \infty

\frac{d}{d x} (2 x + 8)

e^{4 x} \cdot 4

π^{x}

n = 0 \sum \infty 2 + 4 + 6 + 8

\int \frac{4 x ^{2} + x + 37}{( x + 1 ) ( x ^{2} + 9 )} d x

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