Judaism is of an same opinion with you. A 365 days max in a form of purgatory, and that is that if you're extremely poor. Jews quit praying for his or her mom and father after 11 months because you do not favor to propose that they were horrid adequate to warrant the completed 12. :-) yet then we comprehend that making blunders is a classic area of human existence. You learn from it, you're making amends, you try again. extremely smart, extremely, in spite of the complicated metaphysics.

δ < .09 , | sin x - 1/2 |< .076 < δ

usually this question is asked differently, find a number δ < (some value) such that | sin x - 1/2 | < epsilon which is some other small value, different from δ.