4.4 Indeterminable Form And LHopital Rule

Question 1

L’Hospitals rule

Answer 1

-limit of the quotient of functions (when 0/0 or infinity/infinity) is equal to the quotient of their derivatives -also valid for one-sided limits and for limits at infinity or negative infinity

Question 2

Horizontal asymptote of F

Answer 2

-x^2/x=infinity (numerator bigger goes to infinity) -x/x^2=0 (denominator bigger goes to zero)

Question 3

Indeterminable products

Answer 3

-when you take the limit of a product and it turns out to be 0 x infinity -convert it to type 0/0 or infinity/infinity - fg= f/(1/g) or fg=g/(1/f)

Question 4

Indeterminable differences

Answer 4

-when you take the limit of a difference eq and get infinity - infinity -convert the difference into a quotient (use common denominator, rationalize, factor out common factor)

Question 5

Indeterminable products

Answer 5