# 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 -∞.