MTH102 Exam Practice Questions and Answers 2026
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Find the volume generated by rotating the curve from to completely round the x-axis.
a.6
b.1
c.2
d.10
Integration by substitution is the reverse process of
a.Implicit differentiation
b.The quotient rule
c.The chain rule
d.The product rule
Integration by parts is based on reversing which differentiation rule?
a.The chain rule
b.Power rule
c.Product rule
d.The quotient rule
Find lim x→3 (x^2+x+6) / (x+3)
a.18
b.2
C.3
d.6
If f(x) = 3x + 5 , find f(2) .
a.6
b.11
c.7
d.10
Find the limit: lim x→2 (3x+1) / (x-2)
a.0
b.4
c.7
d.∞
Find f^-1 of f(x) = 1/x
a.x/1
b.x
c.1/x
d.2
Solve lim t→-2 4 / (t+2)
a.2
b.1
c.3
d.-1
Find lim t→3 (t-1)
a.1
b.3
c.4
d.2
The lim x→2 (3x + 1) is:
a.7
b.5
c.6
d.8
Solve lim n→-2 4 / (n+2)
a.0
b.∞
c.1
d.4
If f(x) = x^2 – 3x , find f(2)
a.0
b.3
c.-2
d.2
If f(x) = 2x^2 – 3x + 1 , find f(2) .
a.3
b.8
c.7
d.5
If f(x) = 2x^2 – 3x + 1 , find f(0)
a.-3
b.3
c.-1
d.1
Which of the following is not true for a function to be continuous?
a.f(x) is undefined
b.lim x→c f(x) = f(c)
c.lim x→c f(x) exists
d.f(x) is defined
Find lim x→1 (x^2-1) / (x-1)
a.2
b.0
c.undefined
d.1
Find f(1) from f(x) = 3x – 5
a.-2
b.2
c.4
d.5
If f(x) = 2x , find the inverse
a.3
b.x
c.2
d.x/2
A function is said to be continuous if
a.and only if it has limit at every point of its domain
b.Zero
c.and only if is continuous at every point of its domain
d.Undefined
Solve lim n→3 n^2 / (n+3)
a.1.5
b.9
c.1
d.3
If f(x) = 2x^2 , find f(-1)
a.-2
b.-1
c.2
d.1
Which of the following represents a function?
a.y^2-x=0
b.x^2+y^2=9
c.x=y^2
d.y=2x +3
A limit exists only if:
a.The derivative exists
b.Left-hand and right-hand limits are equal
c.x is rational
d.The function is continuous