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# Limits by Direct Substitution Calculator

## Get detailed solutions to your math problems with our Limits by Direct Substitution step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Solved example of limits by direct substitution

$\lim_{x\to2}\left(\frac{3x^2-4x-11}{2x+1}\right)$
2

Evaluate the limit $\lim_{x\to2}\left(\frac{3x^2-4x-11}{2x+1}\right)$ by replacing all occurrences of $x$ by $2$

$\frac{3\cdot 2^2-4\cdot 2-11}{2\cdot 2+1}$
3

Multiply $2$ times $2$

$\frac{3\cdot 2^2-4\cdot 2-11}{4+1}$

4

Add the values $4$ and $1$

$\frac{3\cdot 2^2-4\cdot 2-11}{5}$
5

Multiply $-4$ times $2$

$\frac{3\cdot 2^2-8-11}{5}$
6

Subtract the values $-8$ and $-11$

$\frac{-19+3\cdot 2^2}{5}$
7

Calculate the power $2^2$

$\frac{-19+3\cdot 4}{5}$
8

Multiply $3$ times $4$

$\frac{-19+12}{5}$
9

Subtract the values $12$ and $-19$

$-\frac{7}{5}$
10

Divide $-7$ by $5$

$-\frac{7}{5}$

$-\frac{7}{5}$