# Show that the limit leads to an indeterminate form. Then carry out the two-step

Show that the limit leads to an indeterminate form. Then carry out the two-step procedure: Transform the function algebraically and evaluate using continuity.
$\underset{x\to -1}{lim}\frac{{x}^{2}+2x+1}{x+1}$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

escumantsu
Begin expression,
$\underset{x\to -1}{lim}\frac{{x}^{2}+2x+1}{x+1}$
Substituting x=-1,
$\frac{{\left(-1\right)}^{2}+2\left(-1\right)+1}{-1+1}=\frac{0}{0}$ Identifical form
Waiting $\left({x}^{2}+2x+1\right)={\left(x+1\right)}^{2}$
Since ${\left(a+b\right)}^{2}={a}^{2}{b}^{2}ab$
$\underset{x\to -1}{lim}\frac{{\left(x+1\right)}^{2}}{x+1}$
$\underset{x\to -1}{lim}\left(x+1\right)$
$-1+1=0$
###### Not exactly what you’re looking for?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee