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D 12033 (Pages : 3) 1193336 ಆಆಆ ಆಆಆ ಆಆಆ

THIRD SEMESTER (CBCSS-UG) DEGREE EXAMINATION, NOVEMBER 2021
Mathematics
MTS 3B 03—CALCULUS OF SINGLE VARIABLE - 2
(2019-2020 Admissions)
Time : Two Hours and a Half Maximum : 80 Marks
Section A

Answer at least ten questions.

Each question carries 3 marks.

All questions can be attended.
Overall Ceiling 30.

1. Determine whether the function f(x) = ‏تر‎ — 3x +1 has an inverse.

2. Find the derivatives of (a) 8४ ; (0) ९०8 1 (3x).

x (2x? + 1)

ಬಾಪ್‌ ಂ

3. Find the derivative of log when x = 1.

lim (2- 1 ۱
4, Evaluate ‏اہ‎ x ei)

logn
7 `

5. Find lim
‏اوہ ج- و‎

(1 1
6. Determine whether the series converges. If it converges find the sum 2 (= न 7
n=1

9 1
7. Use integral test to determine whether 2 ne 41 converges or diverges.
n=1

سر

8. Show that the alternating series 2. — `

n converges.
n=1

Turn over

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