Answer to Question #40704 in Calculus for soyong

Question #40704

calculate:
1) lim 1-cos x/x+x^2 2) lim x-2x^2/3x^2+5x 3) lim (x sin 1/x)
x->0 x->∞ x->∞

4)Show that the sequence 1/2, 2/3,3/4,4/5,... is strictly increasing sequence.

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