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Use Vertical Asymptotes To Help In Determining Limits

Evaluate limx1(51x)\lim_{x\to1}\left(\frac{5}{1-x}\right)

Evaluate

limx(3x+4)\lim_{x\to\infty}\left(\frac{3}{x+4}\right)

Fill in the blanks

limx3(5x+3)\lim_{x\to-3}\left(\frac{5}{x+3}\right) =

Is this statement true or false?

limx1(5x 2+7x+12)\lim_{x\to-1}\left(\frac{5}{x\ ^2+7x+12}\right) is 5

 Fill in the blanks

limx1(5x 21)\lim_{x\to1}\left(\frac{5}{x^{\ 2}-1}\right) is

 Is this statement true or false?

limx1((2x3)(x+1)(x1)(x+2)(x+1))\lim_{x\to-1}\left(\frac{\left(2x-3\right)\left(x+1\right)\left(x-1\right)}{\left(x+2\right)\left(x+1\right)}\right) is

Evaluate

limx1(5x(x21))\lim_{x\to1}\left(\frac{5}{x\left(x^2-1\right)}\right)

Evaluate

limx0(7x(x1))\lim_{x\to0}\left(\frac{7}{x\left(x-1\right)}\right)

Fill in the blanks

limx0(3xx+9)\lim_{x\to0}\left(\frac{3x}{x+9}\right) =

Evaluate

limx1(x+1x21)\lim_{x\to1}\left(\frac{x+1}{x^2-1}\right)