What is the limit as x approaches-3 of x/((x+3)^4) ?

The limit as x approaches-3 of x/((x+3)^4) is -infinity

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limit as x approaches-3 of x/((x+3)^4)

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

- \infty

Solution steps

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

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{x}{( x + 3 ) ^{4}}) = - \infty

x \to - 3 + lim (\frac{x}{( x + 3 ) ^{4}}) = - \infty

= - \infty

What is the limit as x approaches-3 of x/((x+3)^4) ?
The limit as x approaches-3 of x/((x+3)^4) is -infinity