Question

evaluate

Answer 1

\[\lim_{x \rightarrow 0} (\frac{ 1 }{ x } -\frac{ 1 }{ x+x^{2} } )\]

Answer 2

the limit of a sum is the sum of limits, is my first idea

Answer 3

but then you might want to rewrite it in terms of a sungle fraction

Answer 4

\[\frac{x^2+x-x}{x(x+x^2)}\]
\[\frac{x^2}{x^2(1+x)}\]
\[\frac{1}{1+x}\to 1\]

Answer 5

@amistre64 thank u