Differential Calculus – Exercise – 1

Differential Calculus » Exercise – 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

2. The first-three non-zero terms in the expansion of e^x 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

3.  is equal to :

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

4.  is equal to :

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

5.  is equal to :

(a) 15
(b) 1/15
(c) 5/3
(d) 3/5

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