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

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

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

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

3

Solution steps

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

Simplify

\frac{3}{x} - \frac{3}{x ^{2} + x} : \frac{3}{x + 1}

= x \to 0 lim (\frac{3}{x + 1})

Plug in the value

x = 0

= \frac{3}{0 + 1}

Simplify

= 3

4

y^{^{'}} = \frac{3 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2}}{x ^{5} y}

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

\int ln^{5} (x) d x

x \to 10 + lim (\frac{1}{( x - 10 ) ^{2}})

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