Find the limit of (x+3)^2(x-3)^3 as x approaches 1

 Exercise

$\lim_{x\to1}\left(x+3\right)^2\left(x-3\right)^3$

 

Evaluate the limit $\lim_{x\to1}\left(\left(x+3\right)^2\left(x-3\right)^3\right)$ by replacing all occurrences of $x$ by $1$

$\left(1+3\right)^2\cdot \left(1-3\right)^3$

 

Subtract the values $1$ and $-3$

$\left(1+3\right)^2\cdot {\left(-2\right)}^3$

 

Add the values $1$ and $3$

$4^2\cdot {\left(-2\right)}^3$

 

Calculate the power $4^2$

$16\cdot -8$

 

Multiply $16$ times $-8$

$-128$

$-128$

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