Lim ⟹3^- h(x) =Lim ⟹3^+ h(x) = Continuous FunctinsDetermine if this function is continuous at z= -31(の) z<3h (x) =9(z) >3where /(z) – 3 2 - 11 and g(x) – +17and g (1) =44.Find.limh(x)NumberFind:lim五(z)-NumberT--3+

Recall: Continuous Function : Since limx→a f(x) exists if and only if the R.H.L and L.H.L at a…

Answered: Determine if this function is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 60E

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f(−3)f(-3) is defined. limx→−3 f(x)limx→-3 f(x) exists. limx→−3 f(x)=f(−3)limx→-3 f(x)=f(-3). The function is continuous at x = -3. The function is not continuous at x = -3. Please note it can be more than one answer
A function is a ratio of quadratic functions and has a verticalasymptote x =4 and just one -intercept, x =1 . It isknown f that has a removable discontinuity at x =- 1 and lim x->-1f(x) = 2. Evaluate a) f (0) b) limx->∞f(x)
Use limits to determine the equations for all vertical asymptote. y=(x2-x-2)/(x2-2x+1)
[3 - x x 2 let fx)=+1 a) Find lim fx) and lim f) X-2 X-2+ exist? why? Sx) b) Dose lim X2
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lim f(x)=3 x-->5- and lim f(x)=1 x-->5+
limx-->0 Evaluate the limit (-4+h)2-16/h
F(x) = [x-1 when x<0, 1 when x = 0, x^2 - 1 when x>/= 0 For this function show that f(0) it not equal lim f(x) x-->0
Find the limit, if it exists. If the limit does not exist, explain why. limx→∞ x / √x^2+x+1 You must show ALL of your work in order to receive full credit. Do NOT use differentiation. Do NOT use L'Hospital's Rule.
f(2) = lim x--> 1- (1/f(x))= lim x-->1- (f(1+x))=

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Determine if this function is continuous at z = -3 f (1) 1<-3 h (1) = g (1) >-3 where f (a) =-3 z- 11 and g (z) = 2 + 23 4 17 2 Find: lim h(x) = Number T-3 lim h (z) Find: Number = T-3+