Lesson 3

• a limit "equal" to +∞ or -∞.

  INFINITE LIMITS
• We put quotation marks since we should not treat this limit statement as an actual equation, for the symbol ∞ does not represent an actual number.
• It just symbolizes the behavior of a function whose values grow without bound in magnitude (+∞ If the function values are positive: -∞ if the values are negative)


  Infinite limits
• If an infinite limit represents graphically the ordinates that grow in magnitude without bound, a limit at infinity represents graphically the abscissas growing without bound: We write lim 𝑥→+∞ 𝑓(𝑥) = 𝐿 if the function values get closer to L as x increases without bound.
• What limit theorem is this?

  LIMITS AT INIFINITY OF THE CONSTANT AND IDENTITY FUNCTIONS

  
• What limit theorem is this?

  LIMIT AT INFINITY OF A CONSTANT MULTIPLE OF A FUNCTION

  
• What limit theorem is this?

  LIMITS OF POWER FUNCTIONS AT INFINITY

  
• What limit theorem is this?

  THEOREM: INFINITE LIMITS OF POWER OF FUNCTIONS

  
• What limit theorem is this?

  INFINITE LIMITS OF ROOTS OF FUNCTIONS

  
• What limit theorem is this?

  LIMITS OF NEGATIVE-EXPONENT/INDEX POWER/ ROOTS FUNCTIONS AT INFINITY