Asked by Kayla
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.
Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx)
I need step by step help using the special trignometric limits theorem.
Answers
Answered by
Steve
(1-tanx)/(sinx-cosx) = 0/0, so try LHospital's Rule:
-sec^2(x)/(cosx+sinx) = (-2)/(2/√2) = -2/√2 = -√2
-sec^2(x)/(cosx+sinx) = (-2)/(2/√2) = -2/√2 = -√2