Question: 29. (a) Prove that for all x > 0, Hint: Integrate the following inequalities (b) Use part (a) to prove that 1 (x)

29.

(a) Prove that for all x > 0,

1 x2 -(1) 1 22 -12/2

Hint: Integrate the following inequalities

image text in transcribed

(b) Use part

(a) to prove that 1 − (x) ∼
1 x√2π
e−x2/2. That is, as x → ∞, the ratio of the two sides approaches 1.

1 x2 -(1) 1 22 -12/2

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