Calculus

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Determine the limit of the trigonometric function:
Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx)
I need step by step help using the special trignometric limits theorem.

  • Calculus -

    (1-tanx)/(sinx-cosx) = 0/0, so try LHospital's Rule:

    -sec^2(x)/(cosx+sinx) = (-2)/(2/√2) = -2/√2 = -√2

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