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limits

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lim as x-> infinity sec^2(1/x)

  • limits -

    As x ---> ∞ , 1/x ---> 0

    So
    lim sec^2(1/x) as x---> infinity
    = lim sec^2(x) as x---> 0
    = lim (1/cos^2(x) as x --->0
    = 1/1
    = 1

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