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# Functions, Graphs, and Limits

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# Polynomials vs. Logarithmic Functions Exercises

### Example 1

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

- 4
*x*^{2}+ 5*x*^{7}+ 3^{x}

### 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.

*x*^{2}+*x*^{3}

### Example 4

- ln
*x*+*x*^{99}+ 9^{x}

### Example 5

- -4
^{x}+ 2^{x}

### 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 -∞.