Calculate these limits If the limit is o or oo write infinity or infinity If the limit does not exist write DNE Hint Remember

Question

Calculate these limits If the limit is o or oo write infinity or infinity If the limit does not exist write DNE Hint Remember the first thing you check when you are looking at a limit of a quotient is the limit value of the denominator 1 If the denominator does not go to 0 you should be able to right down the answer immediately 2 If the denominator goes to 0 but the numerator does not you will have to check the sign 1 of the quotient from both sides if the limit is not one sided 3 If both the numerator and the denominator go to 0 you have to do the algebraic trick of rationalizing So group your limits into these three forms and work with them one group at a time a lim t pl 2 b lim t pl 2 c lim t pi 2 d lim t pl 2 e lim f lim t pi 2 9 lim h lim sin t sin 2 t 17cos t 2cos 2 t cost sin t pl 27 t pl 2 1 lim t pi 2 sin t sin 2 t 17cos 2 t 2cos 2 t t pi 2 k lim t pl 2 1 lim t pi 2 2t 17cos t 2cos 2 t sin t sin 2t 17cos t 2sin t cos t sin 2 t 17cos 2 t 2cos 2 t 31 sin t sin 2 t 17cos t 2sin 2 t cos t sin 2 t 17cos 2 t 2sin t cost V sin 2 cos t 17cos 2 t 2sin 2 t sin t sin 2 t 17cos t 2cos t sin t sin 2 t 17cos 2 t 2cos t cost sin 2t 17cos 2 t 2cos t 700

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