What is the limit as x approaches-3 of-5/((x+3)^2) ?

The limit as x approaches-3 of-5/((x+3)^2) is -infinity

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limit as x approaches-3 of-5/((x+3)^2)

x \to - 3 lim (- \frac{5}{( x + 3 ) ^{2}})

- \infty

Solution steps

x \to - 3 lim (- \frac{5}{( x + 3 ) ^{2}})

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

then

x \to a lim f (x) = L

x \to - 3 - lim (- \frac{5}{( x + 3 ) ^{2}}) = - \infty

x \to - 3 + lim (- \frac{5}{( x + 3 ) ^{2}}) = - \infty

= - \infty

\frac{d}{d x} (\frac{8 - x e ^{x}}{x + e ^{x}})

4 y^{^{'}} = \frac{4 x y + 8 x ^{2} + 2 y ^{2}}{x ^{2}}

y^{^{'}} + csc (y) = 0

\int \frac{e ^{3 x} + 1}{e ^{x} + 1} d x

x \to 3 lim (2 x^{3} - 4 x - 10)

What is the limit as x approaches-3 of-5/((x+3)^2) ?
The limit as x approaches-3 of-5/((x+3)^2) is -infinity