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Multi Variable Calculus (BBS01T1001)
Galgotias University
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Question Bank- School of Basics and Applied Science Mathematics Course Name: Multivariable Calculus Course Code: BBS01T Unit-
Sl No. Questions
C
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Bloo m’s Taxon omy Level
Dif ficu lty Lev el
Compe titive Exam Questi on Y/N
Area Topic
1.
1
Define sequence. 1 K1 L N sequence definition
2 Find the nth term of the sequence 1, -4, 9, -16, 25, ...
1 K2 M N sequence notation
3 Define convergence of the sequence. 1 K1 M N sequence convergence 4 Explain the convergence of the sequence graphically.
1 K2 M N sequence convergence
5 Explain that the sequence is not convergent graphically.
1 K2 M N sequence convergence
6 Solve: 1 K3 M N sequence convergence 7 Solve: 1 K3 M N sequence convergence 8 Solve: 1 K3 M N sequence convergence 9 Define sequence of partial sum of series. 1 K1 M N series definition 10 Show that geometric series converges to for
1 K3 H N series Geometric series 11
Show that series is convergent and find its sum.
1 K3 H N series Geometric series
12 Show that series is convergent and find its limit.
1 K3 H N series Geometric series 13 Express the repeating decimal 5... into ratio of two integers.
1 K2 H N series Geometric series 14 Show that the series is divergent. 1 K3 H N series nth term test 15 State the integral test. 1 K1 M N Series Integral test 16 Show that the p-series (p a real constant) converges if, and diverges if.
1 K3 H N series p-series test
17 Show that the series is convergent. 1 K3 H N series Integral test 18 Show that the series is not convergent. 1 K3 H N series Integral test 19 Define absolutely convergent series. 1 K1 M N series absolutely convergent 20 State the ratio test. 1 K1 M N series Ratio test 21 Show that the series is convergent and its sum is.
1 K3 H N series Ratio test
22 Show that the series is not convergent.
1 K3 H N series Ratio test
23 State the root test. 1 K1 M N series Root test 24 Explain that the series is convergent. 1 K2 H N series Root test 25 Explain that the series is convergent. 1 K2 H N series Root test 26 Show that the series is not convergent. 1 K3 H N series Root test 27 Define alternating series and give an example.
1 K1 M N Series Alternating series
28 State the alternating series test. 1 K1 M N series Alternating series 29 Show that the series is convergent. 1 K3 H N series Alternating series 30 Define power series about. 1 K1 M N Power series
Definition
31 Show that the power series converges to for.
1 K3 H N Power series
convergence
32 Show that the power series converges for.
1 K3 H N Power series
convergence
33 Show that the power series converges for.
1 K3 H N Power series
convergence
34 Determine the interval and radius of convergence for the power series
1 K4 H N Power series
convergence
35 Determine the interval and radius of convergence for the power series
1 K4 H N Power series
convergence
36 Define the Taylor series generated by at 1 K1 M N Taylor Definition
Question bank 1 - helpful
Course: Multi Variable Calculus (BBS01T1001)
University: Galgotias University
