x? + 4x – 21 - Calculate the indicated limit.lim If a limit does not exist then answer +o O, or DNE 2-3 x2 – 7x + 12 whichever is correct). Make sure to check that L'Hopital's rule applies before using it. Also, whenever you apply L'Hopitals rule, indicate that you are using it.

Q: Find the limit (enter 'DNE' if the limit does not exisi) Hint: rationalize the denominator. (-8x? –…

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Q: Find the required limit or indicate that it does not exist. 1. lim3(2(t – 3)²i – 7t°j) 2. lim→1(i -…

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Q: z2 -6x +36 Find lim I +6 O 36 O 108 The limit does not exist.

A: To find limx→-6x2-6x+36x+6

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

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Q: Find the limit analytically. You must show your work. If the limit doe not exist, be sure to state…

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Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not…

A:

Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  7x2…

A: The given expression of the limit is: limx→+∞7x2+10x-12x2-2x

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit substitute x=3 and y=2 in the given function.

Q: valuate the limit, by using the appropriate Limit Law(s). limx→1(1+3x1+4x2+3x4)3

A:

Q: Find the limit z3 - 6?iz1 lim z4 + 64 Z - 6i

A: Given,limz→6iz3-62izz4+64 Here, we have to evaluate the function z3-62izz4+64 as z approaches to 6i…

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y) - (0, 0) (x2 +…

A: From the given problem: limx,y→0,0x2x2+3y2+3

Q: can you help me understand how this problem is worked out. ? If i plug in -3 to x i got answer of…

A: Given:

Q: х-V4х+5 1. lim х-5 х2-25 1 4 2. lim х--з+ \x2+3х-18 7x2-11х-30,

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Q: Find the limit analytically. You must show your work. If the limit does not exist, be sure to state…

A: Given: limx→-3x2-92x2+x-15

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: Consider the given function:

Q: 3xy Consider L= lim (r.y)-(0,0)(x²+y2 a- Find the limits along the paths x=my. (Hint: Find your…

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Q: V2x -1 Using defination of limits, prove that lim Jx- 3 L^ = x4

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 Ilm…

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Q: 3x+2 Find the limit as x --> lim –6x–6 00 O - 1/2 O 1 O - 1/3

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Q: Find the limit analytically. You must show your work. If the limit doss not exist, be sure to state…

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Q: – 10xy Find the limit lim (2,y) (21,y1) 25x2 at the following points. - y? – 10xy lim (2,y) (0,11)…

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Q: х— 1 В. lim Vx – 1 x→1

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Q: V2x –1 Using defination of limits, prove that lim Vx- 3 L^ = X4

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Q: Find the value of b-2a for which the limit ex – xex – cosbx - limx +0 exists 4 Select one: а. 3 b. 1…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: x2+ cx+c+5 # 11. The limx→-42+5x+4 exists. What is the value of "c"? What is the value of the limit…

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.)  lim x→−2  x3 + 8 x2 +…

A: Given limx→−2x3+8x2+7x+10

Q: Find the limit analytically. You must show your work. If the limit does not exist, be sure to state…

A: Given that limx→2 6x-5x+ln x find the limit analytically

Q: Hi, can you please show me the work and final answer to this problem?Thank you!

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Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit…

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a>0

Q: Find the limit analytically. You must show your work. If the limit does not exist, be sure to state…

A:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  5x2…

A: The given limit of expression is lim x→∞+5x2+5x-42x2-3x Divide the expression by highest denominator…

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: Given information: limx→ 0.5-2x-12x3-x2

Q: Estimate the limit numerically if it exists

A: limx→3x2-6x-3

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Find the limit. (If the limit is infinite, enter 'a' or '-s', as appropriate. If the limit does not…

A: Solve for the limit

Q: Find the limit by the method of your choice. You must show your work. If the limit does not exist,…

A: Given, limx→4+  -1x-4  We have to evaluate the limit.

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|…

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Q: Q2/ Answer two only from the following. (a) Find the limit (if exist): lim(2t-2)² dt 2x-1

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 5 lim X--4+ X + 4 Need Help? Read It

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

Q: Vse L Hospital's rule to find the limit 2メ+1 2x-3 2x+5 Xー→ 00

A: Given limit, Let us use the property, u = eln(u) . Using logarithmic property,

Q: Evaluate VI-5z3+4 lim 8x2 +6 Enter I for oo, 4 for-oo, and DNE if the limit does not exist. Limit =

A: Given query is to find the value of the limit.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.