Find the least common denominator for these
1 answer:
The least common factor denominator is 8x².
Solution:
Given rational expressions:
<u>To find the least common denominator for the rational expressions:</u>
The denominators of the rational expressions are x and 8x².
Factor of x = x
Factor of 8x² = 8 × x × x
Least common factor of x and 8x² = x × 8 × x
= 8x²
Hence the least common factor denominator for those two rational expressions is 8x².
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The method which is used to solve the provided equation using the distributive property is,
The distributive property is to make something easier to do or understand and to make something less complicated.
The given expression is .
The expression can be written as
Divide both sides by 0.2
Add 4 both sides, we have
Thus, the value of x is 12.5.
More about the distributive property link is given below.
Answer:
Convergent and divergent are explained with examples.
If limit exist and partial sum converges or individual term approaches zero then series is convergent otherwise divergent and further checked by methods explained below.
Step-by-step explanation:
Given:
Explanatory Question on convergent and divergent series
To Find :
What are convergent and divergent series?
Solution:
Convergent series:
A series said to be convergent when the limits of the series converges to the finite possible value for the series.
Consider a series
Sn=a1+a2+a3+a4+........+an
this form a new series as ,
Sn(n=1 to infinity)=
=s.
It is important that, partial sum of series, there should be a limit existed and that is finite in nature then only series converges.
The geometric series gives proper idea how limit decides the convergent and divergent nature.
A series in which the individual term ,approaches zero then series is convergent in nature but not for all time.
The series,
- A convergent series is series for which limit exist.
- If the sequence of partial sum is convergent sequence.
G(r,c)= r+c
where r≠1 then series is converges.
Divergent series:
A series is infinite series with which does not converges at any point ,
had a infinity sequence of partial sums with no finite limit.
A series where individual sum does not approaches zero diverges.
For e.g.
This series diverges.
Or harmonic series which diverges.
Where is limit tends to infinity ,eventually series added up to infinity means no exact answer will be there.
For summing the divergent series there method as :
- FFT
- extrapolation methods.
- Abelian theorems
- Regularity,linearity and stability test for the series.
If these test are checked then we will get to know that which series diverges and converges.