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* + *x*^{2} + (1/3)*x*^{3}

(b) *x* + (*x*^{3}/3) + (2/5)*x*^{5}

(c) *x* + *x*^{2} + (5/6)*x*^{3
}(d) *x* + (*x*^{3}/3) + (1/6)*x*^{5}

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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