tan (3r) 1+ (3x) 24(V9+x-3) r>0 k I = 0. E the following statements is true about y of the function f(r) at I = 0? has an infinite discontinuity at r 0. is continuous at r= 0 if t

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let
-1
tan
1+
(3x)
f(x) =
24(V9+x - 3)
r>0
k
I = 0.
Which of the following statements is true about the
continuity of the function f(r) at r = 0?
f(x) has an infinite discontinuity at r = 0.
f(x) is continuous at r =0 if k = 4.
f(z) is continuous at r = 0 if k = 3.
f(x) is continuous at r = 0 if k = 1.
f(x) has a jump discontinuity at z = 0.
Transcribed Image Text:Let -1 tan 1+ (3x) f(x) = 24(V9+x - 3) r>0 k I = 0. Which of the following statements is true about the continuity of the function f(r) at r = 0? f(x) has an infinite discontinuity at r = 0. f(x) is continuous at r =0 if k = 4. f(z) is continuous at r = 0 if k = 3. f(x) is continuous at r = 0 if k = 1. f(x) has a jump discontinuity at z = 0.
Let the derivative of the function f(x) be
g(x) = 2x° + cos (1-x). If
f(1+ 2x) - f(1)
lim
= 3a,
then a=?
3.
-3
4.
-2
Transcribed Image Text:Let the derivative of the function f(x) be g(x) = 2x° + cos (1-x). If f(1+ 2x) - f(1) lim = 3a, then a=? 3. -3 4. -2
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