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

8. Find the values for x and y (2 points)
Escoge los deportes que son acuáticos. pasear en bote fotografiar pescar esquiar en agua
What did Rowley say embarrassed and annoyed Greg the most
Which branch of the government (at the federal level) is supposed to be the most powerful?
Who was Theodore Roosevelt, and how was he
Two parallel chords lie on opposite sides of the centre of a circle of radius 13cm, their lenght are 24cm,what is the distance between the chords.. Please
In “The Gift of the Magi”, when Jim buys combs for Della , the irony is that
Money spent on government programs is referred to as A. bonding. B. an obligation. C. revenue. D. an expenditure.
what gives carbon the ability to form chains that are almost unlimited in length?
Nick received an 82.5 percent on his math test. How many questions did he get right if there were a total of 40 questions?