Estimate limit using an analytic approach: 

$\left(\frac{1}{x-2}\right)$

 Estimate limit using an analytic approach: 

$\left(\frac{1}{x-10}\right)^3$

 Estimate limit using an analytic approach: 

$\frac{\left(x^2-3x\right)}{\left(x^2+5x\right)}$

Estimate limit using an analytic approach: 

|x|

Estimate limit using an analytic approach: 

$\frac{\left(x^2+3x\right)}{\left(x^2-7x\right)}$

 Estimate limit using an analytic approach: 

$\left(\frac{1}{x-2}\right)^2$

Estimate limit using an analytic approach: 

$\left(\frac{1}{x-4}\right)$

Estimate limit using an analytic approach: 

$\left(\frac{1}{x-7}\right)^2$

Estimate limit using an analytic approach: 

$\frac{\left(x^2+2x\right)}{\left(x^2+3x\right)}$

  Estimate limit using an analytic approach: 

$\left(\frac{1}{x-1}\right)$