Asked by Harv
what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?
Answers
Answered by
MathMate
Use l'Hôpitals rule:
if the value is indeterminate (0/0 or ∞/∞) at the limit, find the value of the derivative of the numerator divided by the derivative of the denominator.
in this case, try to evaluate
d(1-tan(x))/dx / d(sin(x)-cos(x))
as x approaches π/4. It is the negative of a simple irrational number.
if the value is indeterminate (0/0 or ∞/∞) at the limit, find the value of the derivative of the numerator divided by the derivative of the denominator.
in this case, try to evaluate
d(1-tan(x))/dx / d(sin(x)-cos(x))
as x approaches π/4. It is the negative of a simple irrational number.
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