Basic Calculus

Question 1

Limits exist if?

Answer 1

The answers from both tables are equally the same

Question 2

Limit does not exist if?

Answer 2

The answer from both the tables are not equally the same

Question 3

Formula for Left-hand limit

Answer 3

Lim f(x)= M
x—>c–

Question 4

Formula for Right-hand limit

Answer 4

Lim f(x)= N
x—>c+

Question 5

A function f(x) may not have a limit as x approaches a certain value because it increases or decreases indefinitely

Answer 5

Infinity or Infinite limits

Question 6

What are the 8 Basic limit laws

Answer 6

1. Limit of a constant function
2. Limit of an Identity function
3. Constant Multiple law
4. Sum or Difference law
5. Product law
6. Quotient law
7. Power law
8. Root law

Question 7

A function f is said to be ______ at the number c if and only if the following conditions are satisfied:
• f(c) exists
• Lim f(x) exists, and
x–>c
• Lim f(x) = f(c)

Answer 7

Continuous

Question 8

If at least one of the three conditions fails to hold at c, the function is said to be ______ at c.

Answer 8

Discontinuous