What is the limit as x approaches 0 of 3/(x(x+3)^2) ?

The limit as x approaches 0 of 3/(x(x+3)^2) is diverges

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limit as x approaches 0 of 3/(x(x+3)^2)

x \to 0 lim (\frac{3}{x ( x + 3 ) ^{2}})

diverges

Solution steps

x \to 0 lim (\frac{3}{x ( x + 3 ) ^{2}})

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

then the limit does not exist

x \to 0 + lim (\frac{3}{x ( x + 3 ) ^{2}}) = \infty

x \to 0 - lim (\frac{3}{x ( x + 3 ) ^{2}}) = - \infty

= diverges

What is the limit as x approaches 0 of 3/(x(x+3)^2) ?
The limit as x approaches 0 of 3/(x(x+3)^2) is diverges