Calculus
Limits of Functions
\[\lim_{x \to \infty}x^2\]
If the values of \(x\) increase without bound, what do the values of \(x^2\) approach?
\[A = \lim_{x \to 3}x-9\]
\[B = \lim_{x \to 3}x^2-9\]
\[C = \lim_{x \to 3}x^3-9\]
Which limit is equal to \(0?\)
\[A = \lim_{x \to 0}\frac{1}{x}\]
\[B = \lim_{x \to 0}\frac{x}{x}\]
\[C = \lim_{x \to 0}\frac{x^2}{x}\]
Which limit is equal to \(0?\)
\[\lim_{x \to 0}\frac{x^3}{x^m} = 1\]
What must be true of \(m\)?
\[\lim_{x \to 5}\frac{x^2-10x+25}{\left(x-5\right)^2}\]
If the value of \(x\) approaches 5, what does the value of \(\frac{x^2-10x+25}{\left(x-5\right)^2}\) approach?