The signum (or sign) function, denoted by sgn, is defined by if x < 0 if x = 0. -1 sgn x = if x > 0 (b) Find each of the following limits. (If an answer does not exist, enter DNE.) (i) x→0+ lim sgn x (ii) lim sgn x (iii) lim sgn x (iv) lim |sgn x|

Q: lim cos G+5 +

A: limx→πcosx2+π4+12

Q: 1. Evaluate the following limits (if it exists) (a) lim X3 Vx+6-x (b) lim ズ→1 Vx-1+x2-x ズー3 xー1 2x…

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Q: 10. Find the value of the limit or state that it does not exist (DNE). a) lim f(x)= =(x)s u X -3

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A: Given: The function is f(x)=x2/3+x-1x2/3+cos2x   To determine: limx→∞ x2/3+x-1x2/3+cos2x

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Q: Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x 3 - the following limits. Enter "DNE" if…

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Q: find the limit of g(x) as x approaches the indicated value.

A: ltx→-25-x2gx=0As x tends to -2 denominator tends to 1 .    gx≠0 . gx&gt;0

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A: Given : fx =-1-x + 3   if x&lt;-23                        if x=-22x+8                if x&gt;-2

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 2 lim X→3+ x + 3

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Q: Find the limit. cos(x) – 1 +x2 lim x-0 2x4

A: It is given that, limx→0cosx-1+12x22x4.

Q: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

Q: - x² if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

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Q: Evaluate the limit.

A: We have to evaluate the following limits- limh→0sin4h4h

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A: We have to find the limit.

Q: Q1: Find the Limits of: Тan x 1- lim X+Sin x+VX 2- lim xo X+Sin x 3- lim vx2 + 1- Vx2-x

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Q: find the limit of g(x) as x approaches the indicated value.

A: the given expression is: limx→51x+g(x)=2

Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

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Q: 8 - x- x2 if x 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 Зx3-9х2 +х-3 1- lim x→0 sin4x 2- lim…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

A:

Q: 7. Because of their connection with secant lines, tangents, and instantaneous rates, limits of the…

A: Answer

Q: -1– x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: limx→-2-f(x)=6, limx→-2+f(x)=6,  and limx→-2f(x)=6

Q: Find limit of lim メ-T(x*1) X-1 X-1 O a, 0 Ob. 1 00 d. None of these

A: Given the function limx→1xx−1   (x≠1)∵x≠1

Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

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Q: The limit lim (n+1-vn- (A) equals-x (B) equals 1 (C) equals ( (D) equals +∞ O(E) does not exist

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Q: 8- x- x2 if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

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Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

Q: 44. Does the limit exists? If no, show your solution lim (x,y)-(0,0) In(1 – x²) + y4 x2 + y4

A: Solved below

Q: - x – x2 if x 2 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: What is the value of a if the limit of the function is 3, given by еах —1-ах lim X→0 ex2. = 3? -cos…

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Q: (a) Compute the following limits: (i) lim **+x²+x+1 x2-1 sec-1(vZ+h)-sec-1/2 (ii) lim h→0 h

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the limit: lim, 0+ x(ln x)²

A: The given expression is: limx→0+x(ln x)2 Which is in 0×∞ form. So, convert it into ∞∞ form.…

Q: 1-cost lim sint et-1 + t t t+0

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Q: Find the following limits of x2 – e5a 5а — 1 x 0 (i) lim f(x) (ii) lim f(x) x→0- (iii) lim f(x)

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Q: -7x2 – 6x + 1 x<0 x 20 f(x) = 3 sin x Enter DNE if the limit does not exist. lim f(x) = 1 lim f(x) =…

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Q: sin²t t3 lim t-0 sint

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Q: II. Evaluate each of the following limits. ArcTanx — х 1) lim x→0 х3 Тапх 2) lim (#- x)таnx — х)…

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Q: Find the limits: x² – x - а. lim x→1 In x e* – 1 b. lim x→0 sin x .3 c. lim С.

A: Limits using L'Hospital Rule

Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: S2 – x – x² if x 2 - Use a graph to determine the following limits. Enter DNE if the limit does not…

A: The graph is shown below:

Q: 2. Evaluate the limits numerically. x-1 a) lim x-1 vx+3-2 x² +3x+2 b) lim x--1 x2-x-2 cos(x)-1 c)…

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Q: Use l’Hôpital’s rule to find the limits

A: Since, we have to find the limits of the function given below:-limh→0 eh-(1+h)h2 -(i)

Q: -x + 1, x > 0 3) Let f(x) = sin x -,x < 0' (a) Find left-hand and right-hand limits as "x"…

A: we have given f(x).  We have to find the left hand and right hand  limit.

Q: Evaluate f(3 + h) – f(3) lim h-0 where f(x) = 4x + 2. If the limit does not exist enter DNE. Limit =

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Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

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Q: 6 - x - x² if x ≤ 1 if x > 1 2x - 9 Calculate the following limits. Enter "DNE" if the limit does…

A: f(x)=  6-x-x2    if x≤1 2x-9         if  x&gt;1

Q: x² – x + 1 1 - (c) lim x→1 x + 1 2 using definition of the functional limit

A: We can prove the statement as below using definition of limit