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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

Here, we show you a step-by-step solved example of limits by direct substitution. This solution was automatically generated by our smart calculator:

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

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

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

Multiply $2$ times $2$

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

Add the values $4$ and $1$

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

Multiply $-4$ times $2$

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

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

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

Calculate the power $2^2$

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

Multiply $3$ times $4$

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

Subtract the values $12$ and $-19$

$-\frac{7}{5}$
2

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

$-\frac{7}{5}$

##  Final answer to the problem

$-\frac{7}{5}$

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