Which of the following functions f: R → R is continuous at the point 0 € R? f(x) = x² f(x) = = X {² f(x) = { √x 0 f(x) = = x x + 2 -1 f(x) = = {i² 1 if x ≤ 0 if x > 0 if x ≥ 0 if x < 0 if x ≤ 0 if x > 0 if x < 0 if x > 0 Choose... Choose... Choose... Choose... Choose... <> O <>

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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Which of the following functions f: R → R is continuous at the point
0 € R?
f(x) = x²
f(x): {2²2
=
f(x) = { √x
0
{²+2
f(x) = {
f(x) = {
1
if x ≤ 0
if x > 0
if x ≤ 0
x + 2 if x > 0
-1
if x > 0
if x < 0
if x ≤ 0
if x > 0
Choose...
Choose...
Choose...
Choose...
Choose...
✓ Choose...
◄►
◄►
O
Continuous at 0
Not continuous at 0
Transcribed Image Text:Which of the following functions f: R → R is continuous at the point 0 € R? f(x) = x² f(x): {2²2 = f(x) = { √x 0 {²+2 f(x) = { f(x) = { 1 if x ≤ 0 if x > 0 if x ≤ 0 x + 2 if x > 0 -1 if x > 0 if x < 0 if x ≤ 0 if x > 0 Choose... Choose... Choose... Choose... Choose... ✓ Choose... ◄► ◄► O Continuous at 0 Not continuous at 0
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