Calculus

Limits of Functions

Limits of Rational Functions

         

Find the value of

limx2x2+5x+6x+2. \lim_{x \to -2} \frac{x^2+ 5x+6}{x+2}.

Evaluate

limx1x1x+32. \lim_{x \to 1} \frac{x-1}{\sqrt{x+3} -2}.

If limxax3a3x2a2=9,\displaystyle \lim_{x \to a} \frac{x^3-a^3}{x^2-a^2}=9, what is the value of limxax3ax2+a2xa3xa?\lim_{x \to a} \frac{x^3-ax^2+a^2x-a^3}{x-a}?

If a a and bb satisfy

limx0xx+ab=6, \lim_{x \to 0} \frac{x}{\sqrt{x+a} - b} = 6,

what is a+b a+b ?

Evaluate

limx(x2+4x1x). \lim_{x \to \infty} \left( \sqrt{x^2 + 4x - 1} - x \right).

×

Problem Loading...

Note Loading...

Set Loading...