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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Example 1

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches:

  • 0?

Example 2

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches:

  • 2π?

Example 3

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches:

  • π / 2?

Example 4

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches:

  • -π?

Example 5

Let f(x) = x2 -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches...

  • 0

Example 6

Let f(x) = x2 -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches...

  • 3

Example 7

Let f(x) = x2 -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches...

  • 1

Example 8

Although we say "the limit of f(x) as x approaches 2 is 5," we write

limto 2 f(x) = 5.

Let f(x) = 2 - 2x. Find the limit.

  • limx to 2 f(x)

Example 9

Let f(x) = 2 - 2x. Find the limit. 

  • limx to 0 f(x)

Example 10

Let f(x) = 2 - 2x. Find the limit. 

  • limx to 1 f(x)
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