Αποτελέσματα Αναζήτησης
16 Νοε 2022 · In this section we will discuss using the Integral Test to determine if an infinite series converges or diverges. The Integral Test can be used on a infinite series provided the terms of the series are positive and decreasing. A proof of the Integral Test is also given.
- Comparison Test/Limit Comparison Test
Now, since the terms of this series are larger than the...
- Special Series
There is no test that will tell us that we’ve got a...
- Practice Problems
10.5 Special Series; 10.6 Integral Test; 10.7 Comparison...
- Comparison Test/Limit Comparison Test
Let P(z) = az2 + bz+ c. Solutions are: If Phas 2 roots: Ae R 0x + Be 1y; If Phas 1 root: AeR 0x + BxeR 0x:; If Phas 0 roots, then quadratic equation gives complex roots M p D N and solutions are Aexp M N x sin p D N x! + Bexp M N x cos p D N x!. An example of a series: X1 n=0 rn = 1 1 r if jrj<1 And another example: the alternating harmonic ...
The p-Series. The harmonic series [latex]\displaystyle\sum _{n=1}^{\infty }\frac{1}{n}[/latex] and the series [latex]\displaystyle\sum _{n=1}^{\infty }\frac{1}{{n}^{2}}[/latex] are both examples of a type of series called a p-series.
2 Νοε 2022 · Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation...
This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.Integral...
16 Νοε 2022 · Is the series similar to a \(p\)-series or a geometric series? If so, try the Comparison Test. Is the series a rational expression involving only polynomials or polynomials under radicals ( i.e. a fraction involving only polynomials or polynomials under radicals)?
We introduce p-series, and the simple p-series test to determine if a p series converges or diverges. We'll apply the p-series test in several examples, whic...
