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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Polynomials vs. Logarithmic Functions Exercises

Example 1

Identify the "leading term" of the function. That is, find the term whose magnitude grows the fastest.

  • 4x2 + 5x7 + 3x

Example 2

Identify the "leading term" of the function. That is, find the term whose magnitude grows the fastest. 

  • ln x + x

Example 3

Identify the "leading term" of the function. That is, find the term whose magnitude grows the fastest. 

  • x2 + x3

Example 4

Identify the "leading term" of the function. That is, find the term whose magnitude grows the fastest.

  • ln x + x99 + 9x

Example 5

Identify the "leading term" of the function. That is, find the term whose magnitude grows the fastest. 

  • -4x + 2x

Example 6

Find the limit. Remember to consider signs when determining whether a limit is ∞ or -∞.

Example 7

Find the limit. Remember to consider signs when determining whether a limit is ∞ or -∞. 

Example 8

Find the limit. Remember to consider signs when determining whether a limit is ∞ or -∞. 

Example 9

Find the limit. Remember to consider signs when determining whether a limit is ∞ or -∞.

Example 10

Find the limit. Remember to consider signs when determining whether a limit is ∞ or -∞.