Asked by Jenifer
Use a graph to estimate:
Lim x-> 0 of sin(8x)/x
when x is measured in degrees.
Lim x-> 0 of sin(8x)/x
when x is measured in degrees.
Answers
Answered by
bobpursley
change it to radians.
lim sin(8*2PI/360 x)/(2PI/360 x) x in radians, lim as x>>>0
lim sin(16PI/360 x)/x * 360/2PI
using L'Hopitals rule, to make certain..
lim= cos(16PI/360 x) * 16PI/360 /1 * 360/2PI
= 1*16PI*360/360*2PI= 8
another way to do it. Let u=8x
du=8dx
lim sin u/u/8= 8
lim sin(8*2PI/360 x)/(2PI/360 x) x in radians, lim as x>>>0
lim sin(16PI/360 x)/x * 360/2PI
using L'Hopitals rule, to make certain..
lim= cos(16PI/360 x) * 16PI/360 /1 * 360/2PI
= 1*16PI*360/360*2PI= 8
another way to do it. Let u=8x
du=8dx
lim sin u/u/8= 8
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