Worksheet 9.2 Taylor Polynomials - Calculus Maximus Page 6
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8Calculus Maximus
WS 9.2: Taylor Polynomials
3
x
sin
x
17. Show how you can use the Taylor approximation
sin
x
x
for x near 0 to find
lim
.
3!
x
x
0
2
4
x
x
1 cos
x
x
18. Use the fourth-degree Taylor approximation of
cos
1
for x near 0 to find
lim
.
2!
4!
x
x
0
sin t
1
t
19. Estimate the integral
dt
using a Taylor polynomial for sin t about
0
of degree 5.
0
t
Page 6 of 8
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