The necessary condition for the McLaurin expansion to be true for function f(x) is __________
Numerical Methods

Quiz
•
Mathematics
•
University - Professional Development
•
Hard
IECEP UDM
Used 12+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
f(x) should be continuous
f(x) should be differentiable
f(x) should exists at every point
f(x) should be continuous and differentiable
2.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
The value of f(1) can be deduced using Taylor series.
True
False
3.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Let τa(f(x)) denote the Taylor series of the polynomial f(x) centered at a. Which of the following exactly happens after the Taylor series is formed?
τa(f(x)) = f(x)
The Taylor series has the effect of scaling GRAPH OF f(x)
The Taylor series transforms the origin
Scaled up graph obtained by factor of a
4.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
A function f(x) which is continuous and differentiable over the real domain exists such that f(n) (x) = [f(n + 1) (x)]2, f(0) = a and f(1)(0) = 1.
True
False
5.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Find the value of √10
3.1633
3.1623
3.1632
3.1645
6.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
Expand f(x) = 1⁄x about x = 1.
1 – (x-1) + (x-1)2 – (x-1)3 + ….
1 + (x-1) + (x-1)2 + (x-1)3 + ….
1 + (x-1) – (x-1)2 + (x-1)3 + ….
1 – (x+1) + (x+1)2 – (x+1)3 + ….
7.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
An infinite series that can be thought of as a polynomial with an infinite number of terms, such as 1 + x + x2 + x3 +⋯…
Taylor Series
Power Series
Numerical Series
Maclaurin Series
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