chloimthlovenb8er0na
chloimthlovenb8er0na chloimthlovenb8er0na
  • 20-07-2016
  • Mathematics
contestada

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

Respuesta :

meerkat18
meerkat18 meerkat18
  • 20-07-2016
We are given with the expression  (1 - cos x) / (x^2) and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.
Answer Link

Otras preguntas

HELP PLEASE URGENT Choose the correct conjugation for the following -ER and -IR verb: Comer/ nosotros/ manzanas Nosotros comen manzanas Nosotros comemos manzana
solve the system of equations 10×+7y=99andy-×=2?
The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new g
Help me plz. I beg you i am struggling
5(2x-4)=45find what x equals
What is the liquid portion of a cell?
what the things Congress is allowed to do
which muslim society required christian families to give their sons to their empire for government service
A person that is heterozygous type A (AO) marries a person that is heterozygous type B (BO). What is the probability that their potential offspring will be type
Scottie has fees taken out of his bank account each month for 3 months.a total of $12 taken out of bank account