To prove that sine is continuous, we need to show that limxla sin x sin a

Question:

To prove that sine is continuous, we need to show that limxla sin x − sin a for every real number a. By Exercise 63 an equivalent statement is that

lim sin(a + h) = sin a


Use (6) to show that this is true.


Exercise 63

Prove that f is continuous at a if and only if

lim f(a + h) = f (a)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question
Question Posted: