EVALUATE THE FF. LIMITS. 1. lim (x+2)2 +3 x6+ x x"(-2x² +5) 2, lim

Q: ate the following limits: a) lim(1 – 2x)/x b) lim -) X-0 X0*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the limit: 4x 24 lim 42 2.

A: Given limit, limx→-6-4x-24x2-x-42

Q: Find the limit |r+2| lim,-2-(x + 5) 2 x+2

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Q: Find the limits using any appropriate method. 4.4 #64 lim xe¬* 4.4 #44 lim Vxe

A: We will use DL hospital rule to solve this question.

Q: 13. DETAILS LARAPCALC10 3.6.026.MI. Find the limit. lim 4 + 4.

A: Given that: limx→-∞4+3x2

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

A: We find limit of given function

Q: 5х + 36 — 6 Evaluate the limit: lim X →0

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Q: Find the limit by rewriting the fraction first. xy – 2y – 3x +6 lim x-2 (x.y) (2,5) x 2 ху - 2у -3х…

A: Solution: The objective is to find the value of the given limit

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: Guess the value of the following limits: 1. lim -3r+2 x-2 x-2 +2x 2. lim X-0 -2x-1-2 3. lim )

A: We have to evaluate the limit for the following... 1. limx→2x2-3x+2x-22.…

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

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Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: Find the limit by rewriting the fraction first. У + 64 lim (x.y) (8, - 64) x3y- xy + 64x2 – 64x…

A: Consider,limx,y→8, -64y≠-64, x≠x2y+64x2y-xy+64x2-64xTo find: The limit of the given fraction.

Q: Find the limit by rewriting the fraction first. ху - 2у - 2x+4 lim x-2 (x.y)-(2,4) X+2 ху - 2у - 2x…

A: Individually we will find limit for x and y. For limit with respect to x, y=0 and limit with respect…

Q: Calculate the limit. (Use symbolic notation and fractions where needed.) lim (V16. (16x4 + 9x – 4…

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Q: Find the limits 4 lim x-7 (x – 7)2

A: To find: The limit of limx→74x-72. Concept used: limx→amn=limx→amlimx→an Calculation: The limit of…

Q: Q4\ find limits of the following x² –16 1- lim Xー→4 x-4

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Q: Evaluate the limit: 2x + 16 – 4 lim 7x

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Q: Find the limits by rewriting the fractions first.

A: Evaluate lim(x,y)→(1,1)x2-2xy+y2x-y

Q: Evaluate the limit 2 i 16 lim 2 n2

A: Use formula then apply limits

Q: Construct a table to find the indicated limit.

A: To evaluate the limit using constructing a table:  limx→-5x2-25x+5 Solution: Constructing a table…

Q: Find the limits by rewriting the fractions first.

A: Given: limx,y→1,1x2-y2x-y

Q: Find the limit

A: Given, limx→∞5-2x2

Q: 4. State if the following limits exist or not. If it exists, state the limit value. (a) lim 1-2+ x2…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the limits by rewriting the fractions first.

A: Let the given limit be, L=limx,y→1,-1x3+y3x+y Consider the algebraic identity,…

Q: li'n -3Carl) lim -3n-3 ヘ→ 0 ヘう o

A: Yes. It is -3. Just take n common from both numerator and denominator and then put n tends to…

Q: Evaluate the limit 25 – b lim b→ 25 5 – vb -

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Q: 2 /2z- lim 4.

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Q: 6. Evaluate the following limits a. lim?→9  3−√9 / 9−? b. lim?→0  √1+?−√1−? / ? c. lim?→−2  ?+2 /…

A: To evaluate the limits in each part. (Taking ? as x in each part) For part a: limx→93−99−x

Q: Find the limits 2 lim x→0+ x/5

A: Given that limx→0+2x15. As x tends to 0, the denominator of the function 2x15 tends to 0.

Q: Evaluate the Following Limits: Lim 2メー6 ス→3 -3

A: Please refer to the image below

Q: (a) Evaluate lim, »∞ 3z+21 e 16

A: Given,          limx→∞3x2+2xex+6

Q: Find the limit: lim ƒ(x) x→1* 8. 8.

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Q: Evaluate the limit 4)². 2 + 4 16 lim

A: we have to find out the limit of given question

Q: Find the limit. lim (x, y) (9, 4) X + 3y – 4x - 12 y 4 %3D У -4 6. 0. O 12

A: A detailed solution is given below.

Q: 2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct?…

A: Since we are given with the multiple number if question and our guideline is solve first question…

Q: 2. In what case can you apply the addition rule for limits? lim x + 3x-8 Q. What is the limit? Q.…

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Q: Find the indicated limit by using the limits 6f(x, y) lim (x,y) → (a, b) g(x, y) lim (x,y) → (a, b)…

A: Given: lim(x,y)→(a,b)f(x,y)=3lim(x,y)→(a,b)g(x,y)=-5To find:lim(x,y)→(a,b)6f(x,y)g(x,y)

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: 5. (a) Evaluate the following limits. i. lim [-2r* – a² – 82] I-00

A: Given that: a)  i . limx→-∞  - 2x4 - x2- 8x

Q: Evaluate the limit 1 1 7 lim b→7 b – 7

A: Evaluate the limit  limb→71b-17b-7

Q: Evaluate the limit 6 (y? – 1) lim y→3 8y2(y – 1)° 3

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Q: Evaluate the limit 1 1 - (3+y)? 2 9 lim

A: Explanation of the solution is given below...

Q: x² + 9 – 3 lim x²

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Q: Q4 find limits of the following 2-2 1-lim *-4

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Q: Evaluate the limit: x2−9−/5x+15=   limx→3

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Q: 5+a 5 lim, 0

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Q: Evaluate the limit. 2x2 + x lim 7х + 6

A: Given: The given limit is limx→∞2x2+x7x+6. Divide the numerator and denominator with x…

Q: Evaluate the limit. 6 lim x →7 x – 7

A: To determine the left-hand limit, apply the constant multiple rule limx→acfx=climx→afx and find the…