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Differential Calculus – 1 – 1

1. Lagrange’s mean value theorem is a special case of :

(a) Rolle’s theorem
(b) Cauchy’s mean value theorem
(c) Taylor’s theorem
(d ) Taylor’s series

Answer
Answer : (b)

Explanation
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2. The first-three non-zero terms in the expansion of ex tan x is :

(a) x + x2 + (1/3)x3
(b) x + (x3/3) + (2/5)x5
(c) x + x2 + (5/6)x3
(d) x + (x3/3) + (1/6)x5

Answer
Answer : (c)

Explanation
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3. 2016-08-06_5-52-19 is equal to :

(a) 1/2
(b) 1
(c) √2
(d) None of these

Answer
Answer : (c)

Explanation
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4. 2016-08-06_5-52-35 is equal to :

(a) 2
(b) e
(c) 1
(d) None of these

Answer
Answer : (c)

Explanation
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5. 2016-08-06_5-53-01 is equal to : 

(a) 15
(b) 1/15
(c) 5/3
(d) 3/5

Answer
Answer : (c)

Explanation
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