Comparison Test — Study Resources & PYQs
Comparison-based method for determining convergence or divergence of positive term series.
- Estimated study time: 30 minutes
Study resources
- Comparison Test for Convergence of Infinite Series - GP Sir (Video) — Statement of the direct comparison test plus the trick of choosing the correct auxiliary series. Fully solved examples of the type asked in university exams.
- Limit Comparison Test for Convergence of Infinite Series - GP Sir (Video) — The limit form of the comparison test, which is the version actually used in most numericals. Shows how to pick the comparison series by looking at the highest powers.
- Wikipedia - Convergence tests (Article) — Reference summary of the standard tests used to decide whether a series of positive terms converges or diverges, including the ratio, root and comparison tests.
Comparison Test previous year questions
- (a) Show that the series $1 + \frac{1}{1 \cdot 4} + \frac{1}{2 \cdot 5} + \frac{1}{3 \cdot 6} + \frac{1}{4 \cdot 7} + \ldots$ is convergent. (b) Test for conve…
- Solve the following differential equations: (a) $\left(1 + e^{x/y}\right)dx + e^{x/y}\left(1 - \frac{x}{y}\right)dy = 0$. (b) $(D^3 - D^2 - 6D)y = x^2$
- Solve (a) $\frac{dx}{x^2+y^2} = \frac{dy}{2x} = \frac{dz}{(x+y)z}$. (b) $z^2(p^2 + q^2 + 1) = c^2$
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu