Limits by Direct Substitution Explained

What is the primary method discussed for finding limits in this video?

• Infinite series

• L'Hôpital's Rule

• Limits by direct substitution

• Graphical analysis

Tags

CCSS.HSF.IF.A.2

Can direct substitution be used for rational functions without any conditions?

• Only with linear functions

• Only if the numerator is a polynomial

• No, not when the denominator is zero

• Yes, always

Tags

CCSS.HSF.IF.A.2

Why is direct substitution a preferred method for finding limits?

• It uses complex algebra.

• It provides an exact value quickly.

• It's applicable to all types of functions.

• It requires no calculation.

Tags

CCSS.HSF.IF.A.2

What type of functions can direct substitution be applied to?

• Exponential functions only

• Only rational

• Polynomial and rational, with conditions

• Only polynomial

What is the limit of 3x - 2 as x approaches 2?

• 0

• 2

• 6

• 4

How do you find the limit of x^2 + x - 6 as x approaches -1?

• Graphical method

• Direct substitution

• Factoring

• Using derivatives

What is the result of the limit calculation for x^2 + x - 6 as x approaches -1?

• -6

• 1

• -5

• 0

Before applying direct substitution in a rational function, what must be checked?

• If the denominator is not zero

• If the function is continuous

• If the limit exists

• If the numerator is zero

What is the limit of (x^2 + x - 6) / (x + 3) as x approaches -1?

• 3

• 0

• -2

• -3

Tags

CCSS.HSF.IF.A.2

What is the first step in applying direct substitution to a rational function?

• Simplify the function

• Multiply the numerator and denominator

• Substitute x with the limit value

• Check the denominator is not zero

Tags

CCSS.HSF.IF.A.2