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