Limits and Trigonometric Functions

This video tutorial covers the analytical evaluation of limits, starting with basic rules and progressing to more advanced techniques. It explains direct substitution, handling radical and composite functions, and finding limits involving trigonometric functions. The video also introduces special trigonometric limits and advanced techniques like rationalizing and factoring to solve limits that cannot be directly substituted.

What is the limit of a constant B as X approaches C?

• 0

• Infinity

• C

• B

If the limit of X as X approaches C is always C, what is the limit of X as X approaches -4?

• 4

• -4

• 0

• Infinity

What is the result of the limit of X^n as X approaches C?

• C

• n^C

• n

• C^n

What method is used to find the limit of a polynomial function?

• Direct Substitution

• Factoring

• Squeeze Theorem

• Rationalizing

When can direct substitution be used for rational functions?

• When the function is undefined

• When the numerator is zero

• When the limit approaches a point not causing zero in the denominator

• When the denominator is zero

What is the limit of the cube root of a function as X approaches 3?

• 3

• Cube root of 27

• Cube root of 8

• 2

How do you find the limit of a composite function?

• Find the limit of the inner function first

• Find the limit of the outer function first

• Add the limits of both functions

• Multiply the limits of both functions

What is the limit of sin(x) as X approaches 0?

• 1

• -1

• 0

• Infinity

What is the limit of cos(x) as X approaches π?

• π

• 0

• 1

• -π

What is the limit of sin^2(x) as X approaches 0?

• Infinity

• 2

• 1

• 0