9 - 4(7x - 8x) = x - 3
1 answer:
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The terms in the series are
The series converges, so we . All the terms in this particular series are known to be positive, so
-th partial sum of the series,
Multiply both sides by :
Subtracting this from eliminates all the
terms between
and
, leaving us with
As , the
term will converge to zero, and the value of the infinite series is
Now, we're given
By substitution, we have
so that
Then the sum of the first 8 terms is
and the difference between this and the infinite sum is
Both the function have same vertical stretch of 1.5 , Option B is the correct answer.
<h3>What is a Function ?</h3>A function is a law that relates a dependent and an independent variable.
The functions given in the question is
f(x) = 3/2 |(x -7)| -2
g(x) = 1.5 ln(x-2)+7
For a function f(x)
f'(x) = a f(x) represents the stretching of a function if a> 1
here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .
Therefore from the options given , Option B is the correct answer.
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