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(Solved): Given that limx2tan2x=, find a number such that if 0<x2 ...

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Given that

lim_{x \to \frac{π}{2}} tan^{2} x = \infty

, find a number

δ

such that if

0 < ∣ ∣ x - \frac{π}{2} ∣ ∣ < δ

, then

tan^{2} x > 600

. 1.489 0.041 0.002 0.029 1.612

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We want to find a ? such that if 0 < |x - ?/2| < ?, then tan^2(x) > 600. We will test each provided option by checking if the inequality holds for

Option a) 1.489







Option b) 0.041

x1 = ?/2 - 0.041 ? 1.459844604
x2 = ?/2 + 0.041 ? 1.681747196


...

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