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lim (x--pi/2) (pi-2x)^cosx

  • a -

    if x --> π/2 , then cosπ/2 ---> 0

    anything^0 = 1

    so lim (π - 2x)^cosx , as x--->π/2
    = 1

  • a -

    However, pi-2x->0 as well, and 0^0 is undefined

    Haven't figured out yet the proof. L'Hospital's Rule seems not to help much, taking logs.

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