6 -- if a < – 3 Let f(x) : I+3 2x + 8 if r > - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I-3 lim f(x) : I-3+ lim f(æ) : I-3

Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: Find the limit. lim etan x x-(1/2)+

A: 0 is answer

Q: 6 — х — а? if x 1 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A:

Q: 3. Evaluate this limit. x + 4 lim x--4 4x + 16

A: given,

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

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

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: 10- x - x² if 3x + 13 if In(x-1)-2 if Calculate the following limits. Enter "DNE" if the limit does…

A: Topic - limits and functions

Q: Evaluate the limits, if it exists, without using L'Hospital's Rule. х2 — х — 2 lim х--1 х2 — 2х — 3

A:

Q: { if x -1 Calculate the following limits. If the limit doesn't exist but it makes sense cases where…

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Q: given that  lim f(x)=9           lim g(x)=-2             lim f(x)=0 x---&gt;1.…

A: Note: We shall only answer up to first three sub-parts as the exact one is not specified. Please…

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

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Q: Determine the limit at infinity. 4 22) lim 9 - (5/x²) X→-0

A: step 2 complete solution

Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

A:

Q: (c) Find the following limits WITHOUT using the L’Hopital's Rule. -5x2-8 lim x→+∞ 2x+3 (i) Зx+1-сos…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

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

A:

Q: Find the limit. (x²-7) (6- cos x) lim

A: Given,           limx→0x2-76-cosx

Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: lim f(x) x--&gt; 3, where f(x) = {2(x+1), if x &lt; 3 or 4, if x = 3, or x^2 - 1, if x &gt; 3}…

A: First we find the limit of f(x) from left side and right side .

Q: 1 if x – 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x -…

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Q: x- 2 x <4 Estimate lim Ax) where fx) = %3D x+2 x24 12 10 -8- 8. 6 2 Limit does not exist.

A: Check the value of function nearer to given point of limit if they are equal only then limit will…

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: 1 (i) lim

A:

Q: What is lim )-7(0) if f(x) = 2x2 + 1? x-0 The limit does not exist. 1

A: Solve for the limit

Q: (4) Find the indicated limits, if they exist: Зх—12 (a) lim→4Jx-2 x²+3x-4 (b) lim→-4 +4x x²+4x 3 cos…

A:

Q: 1. Find the limits. (Don't use L'hopital Rule) V2h+1-1 a. lim h-0 b. lim_(x – 3) -2| x--2 (x-2)

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: What must be multiplied to both numerator and denomination of lim→2 3-г-1 SO 2-x that the limit will…

A: We have to find multiplication factor for given Limit.

Q: Show the limit does not exist by choosing two paths to the origin whose limits L1 and L2 are not the…

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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: Find the indicated limit algebraically. Show complete solution. 2x -x-3 1. lim x--1 2. lim () x+1…

A: Solution: Consider the given limit function is limx→-12x2-x-3x+1 We can factorized numerator and…

Q: Evaluate the limit algebraically. 1 х — 4 - lim x→4 x + 4 x2 – 16 If the limit does not exist enter…

A: NOTE: Refresh your page if you can't see any equations. .

Q: if x — 4 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ –…

A: a)

Q: If lim f(x) and lim f(x) exist but are not equal, then x = c is a(n) jump discontinuity. X-C- XC+ If…

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Q: 9 if - 1 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = 2 -1…

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Q: B) Find the limits by using L.Hopital rule: 7x 1. lim- X0 sin 2x -16 2. lim X-4 (Vx+5)-3

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Q: Evaluate the limit 6| lim x→6 x - 6. If the limit does not exist enter DNE. Limit =

A:

Q: 9 -x2 if x 1 .What value of c makes g(x) continuous at x = 1? Show all conclusions. 2 Vx-4 Using…

A: For a function to be continuos, the left hand limit should be equal to the right hand limit.…

Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

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Q: 3x + 2 aluate the limit of lim if it exists. x + 2 O limit does not exist

A:

Q: 5) Find the indicated limit if it exist. 3- Vx + 7 а) lim x→2 2 - x x' +1 b) lim х>-1 х+1

A: (a).    We have to find the limit: limx→2 3-x+72-x

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

A:

Q: Estimate the limit numerically or state that the limit doesn't exist: 2²–5x-14 lim 1²-6x-7 (Enter…

A: find the limit of the function.

Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

A:

Q: 4] [2M] Determine whether the limit exist in R for lim xsin(1/x²), (x# 0). x→0

A: Zero

Q: V-1-x +5, if x -2 Calculate the following limits. Enter "n" for a limit which does not exist. lim…

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Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim 0 sin 2 -16 2. lim 4 (V+5)-3

A: 1. Here limx→07xsin 2x is of 00 form, so by applying L. hospital rule, we get limx→07xsin 2x =…

Q: (a) Find the limit (if exist): lim "(2t-2)2 dt 2x-1

A:

Q: 5) Find the indicated limit if it exist. а) lim X-2 3- Vx+ 7 2 - x x' +1 b) lim x-- x+1

A: