Limits to infinity + Horizontal Asymptotes

Which is the fastest growing function?

• Constant

  (i.e. 5, 3, 0)

Tags

CCSS.HSF-IF.C.7E

Which is the second fastest growing function?

• Constant

  (i.e. 5, 3, 0)

Tags

CCSS.HSF-IF.C.7E

Which is the third fastest growing function?

• Constant

  (i.e. 5, 3, 0)

Tags

CCSS.HSF-IF.C.7E

Which is the slowest growing function?

• Constant

  (i.e. 5, 3, 0)

How do we find Horizontal Asymptotes?

• Take limit as x approaches Infinity (or -infinity)

• Take limit as x approaches zero.

• Evaluate the function at its discontinuities

• It's not possible with calculus

Tags

CCSS.HSF-IF.C.7D

Find the limit. Hint: Where is the horizontal asymptote?

• ³/₇

• 0

Find the limit. Hint: Where is the horizontal asymptote?

• ^-2/₉

• 0

Tags

CCSS.HSF-IF.C.8B

• 0

• DNE

• 1/2

• 2

Tags

CCSS.HSF-IF.C.8B

• 2

• 2/3

• 1

• 0

• DNE

• 4