For each n = 1,2, 3, ..., define fn (X) -for every x E R 1+ 2n²x? Then the function f defined by f(x) = lim fn(x) exists for each a E Rand is equal to: O a. f(x) = x O b. f(x) = x/2 O c. f(x) = x² O d. f(x) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each n = 1,2, 3, ..., define
fn (X)
-for every x E R
1+ 2n²x?
Then the function f defined by
f(x) = lim fn(x)
exists for each a E Rand is equal to:
O a. f(x) = x
O b. f(x) = x/2
O c. f(x) = x²
O d. f(x) = 0
Which of the following expressions does not have an integral which can be expressed in terms of elementary functions: (1, x,
In(x), sin(x), etc.)
O a. ez?
O b. sin(x)e*
1
O d.
ez
Transcribed Image Text:For each n = 1,2, 3, ..., define fn (X) -for every x E R 1+ 2n²x? Then the function f defined by f(x) = lim fn(x) exists for each a E Rand is equal to: O a. f(x) = x O b. f(x) = x/2 O c. f(x) = x² O d. f(x) = 0 Which of the following expressions does not have an integral which can be expressed in terms of elementary functions: (1, x, In(x), sin(x), etc.) O a. ez? O b. sin(x)e* 1 O d. ez
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