Find the limit of (3x+30)/abs(x+10) as x approaches -10

 Exercise

$\lim_{x\to-10}\left(\frac{3x+30}{\left|x+10\right|}\right)$

 

Evaluate the limit $\lim_{x\to-10}\left(\frac{3x+30}{\left|x+10\right|}\right)$ by replacing all occurrences of $x$ by $-10$

$\frac{3\cdot -10+30}{\left|-10+10\right|}$

 

Subtract the values $10$ and $-10$

$\frac{3\cdot -10+30}{\left|0\right|}$

 

Multiply $3$ times $-10$

$\frac{-30+30}{\left|0\right|}$

 

Subtract the values $30$ and $-30$

$\frac{0}{\left|0\right|}$

 

Zero divided by anything is equal to zero

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