Question
Asked Sep 16, 2019

Find the limit:

lim f(x) as x approaches 0 of Kx- tan2 (mx)cos(mx)/x2     (m not =0)

check_circleExpert Solution
Step 1

Consider...

sinmx
ko2-tan2 (mx)cos(mx
lim
тx)со
CoS(mx
lim
х30
x0
kx2 cos (mx)sin2 (mx)
- lim
тх
sin2mx)
-lim
cos(mx
k
lim
x0
x0
sin2mx)
- k cos(0)-m
(1)
_
х30
0
=k
0
Indeterminant form]
help_outline

Image Transcriptionclose

sinmx ko2-tan2 (mx)cos(mx lim тx)со CoS(mx lim х30 x0 kx2 cos (mx)sin2 (mx) - lim тх sin2mx) -lim cos(mx k lim x0 x0 sin2mx) - k cos(0)-m (1) _ х30 0 =k 0 Indeterminant form]

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Tagged in

Math

Calculus

Derivative