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posted by Tom Sunday, June 17, 2012 at 10:32am.
evaluate the limit: lim cos(x + pi/2)/x x->0
cos(x+pi/2) = cosx cos pi/2 - sinx sin pi/2 = 0 - sinx = -sinx so limit cos(x+pi/2)/x as x----> o = lim -sinx/x , x ---> 0 = -1 using the fact that lim sinx/x = 1
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