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D 92959

THIRD SEMESTER (CBCSS-UG) DEGREE EXAMINATION, NOVEMBER 2020

Mathematics
MTS 3B 03—CALCULUS OF SINGLE VARIABLE - 2

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.
೫೦೦8೩,

1. Find the derivative of y =e

2. Find the derivative of y= log (८ ‏ہ‎ 2 )
3, Find lim, ‏کک‎

1 ம்‌ x7! ಸರತ. -1 1
4. Show that sinh * x = log (> V2 41 1}.

5. Find lim Feat]

7 >

6. Express 3.214 as a rational number.

00
1
7. Determine whether the series 342" converges or diverges.
n=

90
3 1
8. ഒ . அ...
how that the series faa vn +138 divergent.

1
9. Find a power series representation of (1-2 on (-1, 1) by differentiating a power series

representation of 5
1- 2

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