What is the slope of the line represented by the equation y = 4/5x -3?
2 answers:
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I can't make out the summand in (d), and I addressed (c) in your other question.
(a)
We have for positive integers
that 
. We also are aware that the series
converges, since it is a
-series with 
. Since the -series converges in absolute value, the alternating series must also converge by comparison.
- - -
(b)
By the alternating series test, this series will converge if the absolute value of the summand is increasing for some large enough
and approaches zero.
We have
for all
, and we also have that
(where we substituted
, so that 
).
Therefore (b) also converges.
(a)
We have for positive integers
converges, since it is a
- - -
(b)
By the alternating series test, this series will converge if the absolute value of the summand is increasing for some large enough
We have
for all
(where we substituted
Therefore (b) also converges.