Continuity of sin x and cos x a. Use the identity sin 1a +

Chapter 2, Problem 105

(choose chapter or problem)

Continuity of sin x and cos x a. Use the identity sin 1a + h2 = sin a cos h + cos a sin h with the fact that lim xS0 sin x = 0 to prove that lim xSa sin x = sin a, thereby establishing that sin x is continuous for all x. (Hint: Let h = x - a so that x = a + h and note that hS 0 as xS a.) b. Use the identity cos 1a + h2 = cos a cos h - sin a sin h with the fact that lim xS0 cos x = 1 to prove that lim xSa cos x = cos a.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back