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1. Determine the value that the such continuous 1). a f(x)= Now Now Continuous Now =) way it in San²-3 {ax Sol? A function f(x) Continuous ax+2 is 1.1 said at a point x=a lim f(x) = lim f(x) = f(a). 2-α- 1-a+ on giver the of function reals. lim f(x) 2+27 ; 4≤2 ; ea' = Sal *>2. lim f (xx) = lim f(x) 1427 X-2* is continuous at x=2. By using defination of continuity; lim f(x) = f(2). lim f(x) = lim (0+2) +2+ (12+ and b' f(x) is to iff that function f(x) is reals. Therefore f(x) = lim (01²-3) = 4a-3 2127 bed 2a +2. in f(2)= a(4) -3 = 4a-3 lim f(u) = limb(x) = f (2) 리12+ 4a-3 = 2a + 2 => (SOX 2a=5) a= 52

1. Determine the value that the such continuous 1). a f(x)= Now Now Continuous Now =) way it in San²-3 {ax Sol? A function f(x) Continuous ax+2 is 1.1 said at a point x=a lim f(x) = lim f(x) = f(a). 2-α- 1-a+ on giver the of function reals. lim f(x) 2+27 ; 4≤2 ; ea' = Sal *>2. lim f (xx) = lim f(x) 1427 X-2* is continuous at x=2. By using defination of continuity; lim f(x) = f(2). lim f(x) = lim (0+2) +2+ (12+ and b' f(x) is to iff that function f(x) is reals. Therefore f(x) = lim (01²-3) = 4a-3 2127 bed 2a +2. in f(2)= a(4) -3 = 4a-3 lim f(u) = limb(x) = f (2) 리12+ 4a-3 = 2a + 2 => (SOX 2a=5) a= 52

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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1. Determine the value that the such continuous 1). a 8(x) = { Sol? A fun Continuous Now way Now Continuous Now =) it in San²-3 ax+2 tim f(x) said at a point x=a lim f(x) = lim f(x) = f(a). na- 2a+ is on giver the lim f(x) 2427 of function fire) is reals. ; 4≤2 ; *>2. 1 ea' and b' in is continuous at x=2. By using defination of Continuity lim f (xx) = lim f(x) lim f(x) = f (2). X(+27 X-2* lim f(x) = lim (0+2) ++ to iff that reals. Therefore function f(x) is Therefore f(x) = bed lim (04²-3) = 4a-3 2012- 2a +2 f(2)= a (4) -3 = 40-3 lim f(u) = limb(x) = f (2) 리-12+ 4a-3 = 2a + 2 => 2a = 5 =) a = 5 2
Transcribed Image Text:1. Determine the value that the such continuous 1). a 8(x) = { Sol? A fun Continuous Now way Now Continuous Now =) it in San²-3 ax+2 tim f(x) said at a point x=a lim f(x) = lim f(x) = f(a). na- 2a+ is on giver the lim f(x) 2427 of function fire) is reals. ; 4≤2 ; *>2. 1 ea' and b' in is continuous at x=2. By using defination of Continuity lim f (xx) = lim f(x) lim f(x) = f (2). X(+27 X-2* lim f(x) = lim (0+2) ++ to iff that reals. Therefore function f(x) is Therefore f(x) = bed lim (04²-3) = 4a-3 2012- 2a +2 f(2)= a (4) -3 = 40-3 lim f(u) = limb(x) = f (2) 리-12+ 4a-3 = 2a + 2 => 2a = 5 =) a = 5 2
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