Limits, Continuity and Differentiability Test

Result

Limits, Continuity and Differentiability Test - 7

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

If g(x) = (x² + 2x + 3) f(x), f(0) = 5 and

A
22

B
18

C
20

D
25

Solution
Question 2
4 / -1

A

B

C

D
none of these

Solution
Question 3
4 / -1

A
–5

B

C
5

D
none of these

Solution
Question 4
4 / -1

A
1/3

B
1/5

C
1/6

D
6

Solution
Question 5
4 / -1

If f : R → R is such that f(1) = 3 and f ' (1) = 6. Then,

A
1

B
e^1/2

C
e²

D
e³

Solution
Question 6
4 / -1

A
f is discontinuous at x = 1

B
f is differentiable at x = 1

C
f is continuous but not differentiable at x = 1

D
None of the above

Solution
Question 7
4 / -1

If f(x) = ae^|x| + b|x|², a,b ∈ R and f(x) is differentiable at x = 0. Then a and b, are

A
a = 0, b ∈ R

B
a = 1, b = 3

C
a = 1, b = 2

D
a = 2, b = 3

Solution
Question 8
4 / -1

A
Continuous but not differentiable at x = 0

B
Discontinuous at x = 0

C
Continuous and differentiable at x = 0

D
Not defined at x = 0

Solution
Question 9
4 / -1

A
n/m

B
m/n

C
2m/n

D
2n/m

Solution
Question 10
4 / -1

A
discontinuous at some x

B

C

D

Solution