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Prove that lim (x->0) x^4 cos 2/x = 0.

  • Math -

    lim (x->0) x^4 cos 2/x=

    =lim (x->0) x^4 * lim (x>0) cos 2/x

    = 0 * lim (x>0) cos 2/x

    cos (a) will always be between -1 and 1. but this is irrelevant since x^4 is 0 at x=0, and anything multiplied by 0 is 0


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