In Exercises 99-100. use a graphing utility to graph the function, Determine the horizontal asymptote for the graph of f and discuss its relationship to the sum of the given series. Function Series f ( x ) = 4 [ 1 − ( 0.6 ) 2 ] 1 − 0.6 4 + 4 ( 0.6 ) + 4 ( 0.6 ) 2 + 4 ( 0.6 ) 3 + ⋯
In Exercises 99-100. use a graphing utility to graph the function, Determine the horizontal asymptote for the graph of f and discuss its relationship to the sum of the given series. Function Series f ( x ) = 4 [ 1 − ( 0.6 ) 2 ] 1 − 0.6 4 + 4 ( 0.6 ) + 4 ( 0.6 ) 2 + 4 ( 0.6 ) 3 + ⋯
Solution Summary: The author explains how to plot the graph of the function f(x)=4 left and its relationship to the sum of series.
In Exercises 99-100. use a graphing utility to graph the function, Determine the horizontal asymptote for the graph of f and discuss its relationship to the sum of the given series.
Let x = 6.99999....
%3D
(a) Is x 7
X = 7
Ox<7 and x = 7
%3D
O It cannot be
determined.
(b) Sum a geometric series to find the value of x.
X =
(d) How many decimal representations does the number 7 have?
decimal representations
(d) Which numbers have more than one decimal representation?
all integers except for 0
O the integers
O all real numbers
all rational numbers that have a terminating decimal representation except
for 0
O the rational numbers except for 0
Expand the function in a power series anx" with center c = 0. Find anx".
8+7x
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of
the form (-1)" in your answer.)
anx"
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8
Incorrect
Expand the function
2+3x
1
in a power series anx" with center c =
0. Find a,x".
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of
the form (-1)" in your answer.)
(-1)"3""
anx"
2"–1
Incorrect
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