Basic Calculus

Given the equation, f(x), $$\lim_{x\rightarrow0^-}\ f\left(x\right)=-\infty$$ , $$\lim_{x\rightarrow0^+}f\left(x\right)=-\infty$$ , and f(0) is undefined, which of the following is true?

Determine the end behavior of the function.

$$\lim_{x\rightarrow\infty}\ \frac{x+8}{x-5}$$

Given the function, f(x), if $$\lim_{x\rightarrow4^-}f\left(x\right)=3$$ , $$\lim_{x\rightarrow4^+}f\left(x\right)\ =\ -1$$ and $$f\left(4\right)\ =\ 9$$ , which of the following is true?

Determine the limit of the function.

$$\lim_{x\rightarrow4}\left(5x^2-2x-3\right)$$

(a)  

Find the limit of the function.

$$\lim_{x\rightarrow1}\ \frac{x+2}{x^2-1}$$

Let f(x) = { $$3x+2,\ if\ x\ <\ -2$$

$$\ \ \ \ \ \ \ \ x^2+3x-1,\ if\ x\ge-2$$

find $$\lim_{x\rightarrow-2^-}f\left(x\right)=$$

Find the limit based on the graph.

$$\lim_{x\rightarrow4^+}f\left(x\right)=$$

(a)  

$$\lim_{x\rightarrow a^-}f\left(x\right)=L$$

This means that we take values lesser than "a", but very close to "a".

It may be used to describe the infinite behavior of a function at a number.

(a)  

The name of grade 11 STEM's Basic Calculus teacher.