Originally Posted by
450081592 Let L subset to R and define
h(x) = {sin(1/x), x not = 0
h(x) = { L, x = 0
Prove that h is not continuous at 0. (Hint: Prove by contradiction,
taking epsilon = 1/2 and use question 1)
question 1:
Suppose delta > 0.
(a) Prove that there exists a positive integer n such that
0 < 1/((4n+1)pi/2) < delta
and sin ((4n+1)pi/2) = 1
(b) Prove that there exists a positive integer m such that
0 < 1/((4m+3)pi/2) < delta
and sin ((4m+3)pi/2) = -1
Can anyone help me with this, I appreaciate it