For each n = 1,2, 3, ..., define fn (X) = #(1 – a²") for every a e [-1,1] Then the function f defined by f(x) = lim fn (x) exists for each a e [-1,1] and is equal to: S0 if æ| < 1 f(x) = 1 if |r| = 1 {: %3D Sa if|æ| < 1 f(x) = l0 if |r| =1 Ob. O c. f(x) = 0 O d. f(x) = x
For each n = 1,2, 3, ..., define fn (X) = #(1 – a²") for every a e [-1,1] Then the function f defined by f(x) = lim fn (x) exists for each a e [-1,1] and is equal to: S0 if æ| < 1 f(x) = 1 if |r| = 1 {: %3D Sa if|æ| < 1 f(x) = l0 if |r| =1 Ob. O c. f(x) = 0 O d. f(x) = x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![For each n = 1,2, 3, ..., define
fn(X) = #(1 – x2") for every x E [-1,1]
%3D
Then the function f defined by
f(x) = lim fn (x)
n00
exists for each a E [-1,1] and is equal to:
S0 if æ| <1
f(x)
l1 if|æ| =1
a.
b.
f(x) =
x if æ| <1
0 if |æ| =1
O c. f(x) = 0
O d. f(x)= x
%3D
Which of the following integrals cannot be evaluated?
O a. S*/, tan(x)dx
O b. So
2 z+21 3
I-1
c.
Li sin '(x)dx
O d. s dr
I+1
I-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87cb4bf3-01cd-4f48-af20-ce201ea914e1%2Fc6981561-7762-4f89-b2b1-954907a2488d%2Fg2w6kur_processed.png&w=3840&q=75)
Transcribed Image Text:For each n = 1,2, 3, ..., define
fn(X) = #(1 – x2") for every x E [-1,1]
%3D
Then the function f defined by
f(x) = lim fn (x)
n00
exists for each a E [-1,1] and is equal to:
S0 if æ| <1
f(x)
l1 if|æ| =1
a.
b.
f(x) =
x if æ| <1
0 if |æ| =1
O c. f(x) = 0
O d. f(x)= x
%3D
Which of the following integrals cannot be evaluated?
O a. S*/, tan(x)dx
O b. So
2 z+21 3
I-1
c.
Li sin '(x)dx
O d. s dr
I+1
I-1
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