# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\lim_{x\to0}\left(\frac{3}{x}-\frac{3}{x^2+x}\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to0}\left(\frac{3}{x}+\frac{-3}{x^2+x}\right)$

Learn how to solve limits by direct substitution problems step by step online. Evaluate the limit of 3/x-3/(x^2+x) as x approaches 0. Multiplying the fraction by -1. Factoring by x. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Factoring by x.

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### Problem Analysis

$\lim_{x\to0}\left(\frac{3}{x}-\frac{3}{x^2+x}\right)$

### Main topic:

Limits by direct substitution

~ 0.1 seconds