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# 1.5 Infinite limits - PowerPoint PPT Presentation

1.5 Infinite limits. "I never got a pass mark in math ... Just imagine -- mathematicians now use my prints to illustrate their books." -- M.C. Escher. Objective:. To describe infinite limits. Black holes. Start with any number

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## PowerPoint Slideshow about ' 1.5 Infinite limits' - reed-christian

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### 1.5 Infinite limits

"I never got a pass mark in math ... Just imagine -- mathematicians now use my prints to illustrate their books." -- M.C. Escher

• To describe infinite limits

• Count the number of even digits, the number of odd digits, the total number of digits.

• Write that 3-digit number

• Repeat

• Repeat

• Repeat

• Limit from the left is different than the limit from the right

• Function increases or decreases without bound

• Function oscillates

• If both the left and the right side approach infinity then

• If both the left and the right side approach negative infinity then

• 2 types:

• Removable

• Non-removable

• If f(x) approaches infinity or negative infinity as x approaches c from the right or left then the line x = c is a v. a. of the graph

• The functions f and g are continuous on an open interval. If f(c) does not equal zero, g(c) = 0, and g(x) is not zero for all other x in the interval then

has a v. a. at x = c

• Look for zeros in the denominator and then check the numerator to see if it is a hole or an asymptote

• Find:

• What do you know about the function?

• Check from the left:

• Check from the right:

• The limit is…

• 1. Sum or difference:

• 2. Product:

• 3. Quotient

• These are also true for negative infinity