Answer:
We can decompose a function into sum of fractions as well.
<em>" Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation " . </em>
<em>Ж</em><em> </em>Now first we will write an expression for \dfrac{3}{8}[/tex]
<em> Ж </em>Now the decomposition of 1 is given as:
And in many more ways we can decompose these numbers.
Answer:
21
Step-by-step explanation:
You have to find the square root.
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.