I suppose you mean
Recall that
which converges everywhere. Then by substitution,
which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives
(starting at 
because the summand is 0 when 
)
b. Naturally, the differentiated series represents
To see this, recalling the series for 
, we know
Multiplying by 
gives
and from here,
c. This series also converges everywhere. By the ratio test, the series converges if
The limit is 0, so any choice of 
satisfies the convergence condition.
Answer:
Yes. It is a rational number.
Answer:
43,000
Step-by-step explanation:
Remember, the tipping point is 50%.
42,591, if the hundreds to one's place is 500 or more, the number 591, it increases the thousands value by 1
Since 591 is greater than 591, the new number will increase from 42,591 to 43,000
-Chetan K
Its 47/8 hope this helped all you need to do is keep the 8 like how it is and then you do 5 times 8 and add 7 thats it
Answer:
<u>600 meters</u>
Step-by-step explanation:
<u>Case 1 : Speed of 1 m/s</u>
- d = v * t
- d = 1 * t
- d = t [Equation 1]
<u>Case 2 : Speed of 1.5 m/s</u>
- d = v * t
- d = 1.5 * (t - 200)
- d = 1.5t - 300 [Equation 2]
As distance in both cases is the same, equate the values of d from both equations.
- t = 1.5t - 300
- 0.5t = 300
- t = 300 * 2
- <u>t = 600 s</u>
Now, put the value of t in <u>Equation 1</u> to find d.
