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Limits by Direct Substitution Calculator

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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:

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

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

Calculate the power $2^2$

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

Multiply $3$ times $4$

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

Subtract the values $12$ and $-19$

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

Divide $-7$ by $5$

$-\frac{7}{5}$

Final answer to the problem

$-\frac{7}{5}$

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