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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Paragraph for Question Nos. 16 to 17 Let g(x) = x^c e^ cx and...

**Paragraph for Question Nos. 16 to 17** Let

g(x) = x^c e^{cx}

and

f(x) = \int_0^x t e^{2t} (1 + 3t^2)^{1/2} dt

. If

L = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}

is non-zero finite number then : The value of

C

is :

Options

A7
B $\frac{3}{2}$
C2
D3

Correct answer

C. 2

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