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calculus

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lim_(theta->0)(cos(6 theta)tan(6 theta))/(theta)

  • calculus -

    lim_(theta->0)(cos(6 theta)tan(6 theta))/(theta)
    =Lim (θ→0)[cos(6θ)sin(6θ)/cos(6θ)]/θ
    =Lim [6 (sin(6θ)/6θ)]
    =Lim [6*1]
    =6
    Note:
    Lim sin(x)/x =1
    x→0

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