JEE MATHS UNIT 7
QUIZ NO 4
TOTAL QUESTIONS = 20
1. The limit of (x^2 - 1)/(x - 1) as x approaches 1 is
A. 0
B. 2
C. 1
D. undefined
2. The function f(x) = |x| is
A. continuous everywhere but not differentiable at x = 0
B. differentiable everywhere
C. not continuous at x = 0
D. none of these
3. The derivative of x^3 is
A. 3x^2
B. x^2
C. 2x
D. 3x
4. The limit of sin(x)/x as x approaches 0 is
A. 1
B. 0
C. infinity
D. -1
5. The derivative of e^(2x) is
A. 2e^(2x)
B. e^(x)
C. x^2e^(2x)
D. e^(2x)
6. The limit of (1 - cos(x))/x^2 as x approaches 0 is
A. 1/2
B. 1
C. 0
D. infinity
7. The derivative of ln(x) is
A. 1/x
B. ln(x)
C. x
D. e^x
8. If f(x) = tan(x), then f'(x) is
A. sec^2(x)
B. cot(x)
C. sin^2(x)
D. tan(x)sec(x)
9. The limit of (x^3 - 8)/(x - 2) as x approaches 2 is
A. 8
B. 12
C. 4
D. 0
10. The derivative of sin^2(x) is
A. 2sin(x)cos(x)
B. sin(x)cos(x)
C. cos^2(x)
D. 2sin^2(x)
11. The value of lim (x → 0) (e^x - 1)/x is
A. 0
B. 1
C. infinity
D. e
12. The function f(x) = |x - 3| is
A. continuous but not differentiable at x = 3
B. differentiable everywhere
C. not continuous at x = 3
D. none of these
13. The derivative of cos(x) is
A. -sin(x)
B. cos(x)
C. tan(x)
D. sec^2(x)
14. The limit of (x^3 - a^3)/(x - a) as x approaches a is
A. 3a^2
B. a^3
C. 3a
D. 0
15. The derivative of cos^2(x) is
A. -2sin(x)cos(x)
B. 2sin(x)cos(x)
C. -sin^2(x)
D. cos^2(x)
16. The limit of (1 - cos(2x))/x^2 as x approaches 0 is
A. 2
B. 1
C. 4
D. 0
17. If f(x) = ln(x), then f'(x) is
A. 1/x
B. x
C. ln(x)
D. e^x
18. The derivative of x^n is
A. nx^(n-1)
B. n^x
C. x^n/n
D. nx^n
19. The function f(x) = 1/x is
A. continuous everywhere except at x = 0
B. differentiable everywhere
C. not continuous
D. none of these
20. The value of lim (x → 0) (tan(x)/x) is
A. 0
B. 1
C. infinity
D. -1
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