Level 1: 1. f(x) = (x²₁x ≤ 1 (x,x>1 Is f continuous at x = 1? Why or why not? 2. (√x+1,x>-1 (-x-2,x≤-1 Is f continuous at x = -1? Why or why not? f(x) = A) lim_f(x) = B) lim f(x) = x-1+ C) lim f(x) = x-1 A) _lim_f(x) = X1-1 B) lim f(x) = C) lim, f(x) = 3 2

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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Answer all given questions in Level 1
Level 1:
1.
(x²₁x ≤ 1
(x,x>1
f(x) =
0=
Is f continuous at x = 1?
Why or why not?
2.
√x+1,x>-1
(-x-2,x≤-1
Is f continuous at x = -1?
Why or why not?
f(x) =
A) lim_f(x) =
B)
lim f(x) =
C) lim f(x) =
X-1
A) lim_f(x) =
B) lim f(x) =
C)
lim f(x) =
x→-1
4
-3
-2
Transcribed Image Text:Level 1: 1. (x²₁x ≤ 1 (x,x>1 f(x) = 0= Is f continuous at x = 1? Why or why not? 2. √x+1,x>-1 (-x-2,x≤-1 Is f continuous at x = -1? Why or why not? f(x) = A) lim_f(x) = B) lim f(x) = C) lim f(x) = X-1 A) lim_f(x) = B) lim f(x) = C) lim f(x) = x→-1 4 -3 -2
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