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**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