Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Finding LimitsIn Exercises 9–14, find the limit or explain why it does not exist.
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?
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Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4
A: We can evaluate the limit in the following steps.
Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001…
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Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…
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Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3
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Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…
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Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3
A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞
Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –
A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…
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Q: 2z-i Our aim is to prove that lim = 2. Which among the following options is true? Zco z+1
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Q: x²-4 How come lim x-2 x-2 cannot be evaluated using the quotient limit law? How come lim Vx – 2…
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Q: The value of lim x+ 2 x3 -8 is the same as x+2V x-2 A None of the given choices B lim Vx2 + 2x– 4 x+…
A: Given that, The Function is following, f(x) = limx→2x3-8x-23 We have to find the value of given…
Q: х3+ x2-х-1 he value of lim is the same as х- -1 х3-3x-2 X-1 lim x--1 X-2 (A x+1 B lim x--1 X+2 (c)…
A: We have to solve
Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…
A: Given: f(x) : -7 ; x ≤ -3 (x+2)3 - 6 ; -3 < x < 0 ( x -2)2 - 5 ; x ≥ 0
Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.
A: To calculate the given limit: limx,y→0,0x−4y6y+7x
Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…
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Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…
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Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1
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Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.
A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx
Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel
A: To complete the table and make the graph
Q: (2) (6) xy-y-2x+2 lim (x,y) (1.1) x-1 2x-y-2 lim (xy)-(20) 2x-y-4 lim (x.y.x)-(3,4.1) (xyz) ¹√√x² +…
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Q: 22 - 3x – 10 Evaluate the limit: lim 4x + 8 Z-2
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Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」
A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1
Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.
A: The given limit limx,y→0,0x2-4y2x2+2y2
Q: 1. Find the limits lim (3x – 1) x-1/3 a) | cos x b) lim x 1 - T lim y--5 5 - v c) 3h +1 - 1 d) lim…
A: according to our guidelines we can answer only three subparts, or first question and rest can be…
Q: x - 4 8. Prove that lim Vr = 2 using the e-6-definition. Hint: Vr - 2 = %3D VI + 2 4
A: The ∈-δ definition of a limit is: The limit of a function f(x) as x tends to "a" is L, that is,…
Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ
A: You have posted multiple questions. As per the instruction, we will be answering only the first…
Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2
A: E
Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.
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Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…
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Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I
A: here is the solution
Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…
A: Find the following value from the graph:
Q: 3x²+2x+1 Q1: Using the L Hopital Rule Evaluate: lim x→0o 5x2+3x+3
A: Given: limx→∞3x2+2x+15x2+3x+3 ……1
Q: -xx2 a) Find lim, + f(x), lim, 2-f(x) and/ (2). b) Dose lim, 2 f(x) exist, if so, what is it? If…
A: We need to find limit.
Q: Evaluate r3+3r2+3r+1 lim f. lim a. r--1 r+1 X+o x+1 e+x? 1-cos? 2x b. lim X-4 -3x+4x2 g. lim- 3x…
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Q: x2 - 16 - if x>0 x + 4 2) Let f(x) = %3D x2 - 16 - if x<0 X- 4 Find lim f(x). x-0-
A: First I have written the definition of left hand limit , just use this definition for given function…
Q: 1 1 х — 1 x+1 h (a) Lim (b) Lim h-0 V5h + 4 – 2 = -2 %3D t3. (c) Lim t-1 t- 1 = 3.
A: Here given that three limit problem and we find its value and prove that. All limit make 0/0 form…
Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…
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Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x
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Q: x² +1 Evaluate the limit of limx ( - ax – b) = 0 - x+1
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Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1
A: “Since you have asked multiple questions, we will solve ONE question for you. If you want any…
Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x
A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…
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A: Consider the given function and its graph as hx=x2 x<23x=22x>2
Q: 1 х — 1 x +1 h 4 (a) Lim (b) Ļim h→0 V5h + 4 – = -2 x→0 2 5 t3 – 1 = 3. - (c) Lim t→1 t-1 || +
A: Reduce the equations by rationalization or by algebraic identities to put the limits and get the…
Q: Calculate the following limits using the factorization formula
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Q: Answer 21-24
A: As per guidelines we have to solve 21
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- Find the limit lim x→∞ (1+5/x)x lim x→0 ((e2x-1-x)/x2)Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−2 x3 + 8 x2 + 7x + 10 If the limit does not exist, say why. (If the limit does exist, so state.) The limit does not exist because the left and right limits exist but are not the same finite value.The limit does not exist because only one of the left or right limits exists as a finite value. The limit does not exist because one side diverges to ∞ and the other side diverges to −∞.The limit does not exist because it diverges to ∞ or −∞.The limit does exist and is a finite number.Find the limit: limx 1(x2 + x + 2)/( x + 1)