Limit Test(Algebra)

Limits

The idea of limits is fundamental to the study of calculus. It suggests a boundary that may be reached or not, or possibly exceeded. A mathematical limit has characteristics similar to those of a physical limit. It is the analysis of how function values or outputs change, when inputs change.

Limits

Example

Limits

Multiple Choice

What number is the $$\lim_{x\rightarrow2}\left(1+3x\right)$$  approaches from the left?

• 6

• 6.9

• 7

• 7.1

Multiple Choice

What number is the  $$\lim_{x\rightarrow2}\left(1+3x\right)$$  approaches from the right?

• 7

• 7.3

• 7.6

• 8

Multiple Choice

Given that  $$f\left(x\right)=1+3x$$  , what is  $$f\left(2\right)$$  ?

• 6

• 7

• 8

Multiple Choice

Find  $$\lim_{x\rightarrow0}\frac{x^2-4x+8}{x-2}$$ . 

• 0

• 4

• -4

• d.n.e.

Multiple Choice

What is the $$\lim_{x\rightarrow-5}\ \frac{x^2-25}{x+5}$$  ?

• d.n.e.

• 5

• 10

• -10

Multiple Choice

What is the limit?

• Infinity
• 20
• DNE
• 12

Multiple Choice

• ∞
• DNE
• 3
• 1

Multiple Choice

• 13
• 7
• 6
• -3

Multiple Choice

• -4

• -1

• 0

• DNE

Multiple Choice

$$\lim_{x\rightarrow-5}\ \ \ \frac{x+5}{2}\ =\ ....$$  

• 0

• 5

• $$\infty$$  

• $$\frac{5}{2}$$  

• $$\frac{2}{5}$$  

Multiple Choice

What is the limit of h(x) as x approaches -4?

• $$16$$

• $$4$$

• $$-4$$

• $$DNE$$

Multiple Choice

What is the limit?

• DNE
• Infinity
• 6
• 12

Multiple Choice

• Does not exist
• -7/5
• -5/9
• -1/2

Multiple Choice

• -1/4
• 8
• DNE
• ∞

Multiple Choice

• -6
• -2
• 3
• 0