EX-1 – Evaluate the following limits: x² + 5 -3 2) lim x2 x ²-4

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: b) Solve the limits of the following expressions. i) lim *-1 x→3 x+3' ii) x²+6x+9 lim x→-3 x+3

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

A: topic- limits

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Evaluate the limit x2+19x- 48 lim x--3 x2-11x+42 O a. а. 0 b. None of these. С. 13 11 d. 00 е. 13 17

A: Limits

Q: Find the value of lim f(x), if x→4+ x 4 8х + 3 f(æ) = O 24 O 21 9. 41 37

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Q: is lim (x – 1) csc TX x→1 :Select one 1 .b - T.C 1 - .d

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Q: Reduce the expression and then evaluate the limit: lim x2 16 x--4 \x + 4 x + 4

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Q: Find the following limits : 2*+3 1) lim x-0 3x-1

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Q: Find the following limits : 1+2 +3+...+x 4) lim X00 x2

A: Ans:  We have to Evaluate  the limit              limx→∞ 1+2+3+‐‐‐+xx2

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: 1/r f. lim f(x) if f(r) = if r -1

A: Given: fx=1x,x≤-1x2-2,x>-1 For finding given limit, we x=0 in given expression

Q: Find the value of lim f(x), if x→2+ 7x + 5 x 2 21 11 13 33

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Q: Evaluate the following limits, if they exist: x -x lim 0 (7-x)-49 53x-2* b) lim 7x

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the following limits : 2x-2 - 3x-3 2) lim x0 x-4 + 4x-2

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Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

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: Evaluate the following limit: 2(х-1)у lim (x.y) → (1,0) (x- 1)3+y® Select one: None of the others.…

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Q: Find the following limits : 1+2+3+ .+ x 4) lim x2

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Q: Evaluate each of the following limits. 1. lim [[ ]]+[[4-x]] X-3- 2r3+5 lim 2. x2+1 X-- 00

A: Here we have to evaluate the given limits  (1) limx-->3- [[x]]+[[4-x]] . (2)…

Q: Find the limits 1 lim x→0 x²/3

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Q: Evaluate the following limits. Write your answer and solution inside the box. 1. lim 2. lim ) X+1…

A: Since you have posted multiple question...so I have to give the solution of first one... kindly…

Q: Find the Following. lim xt) 2 2) lim 3. lim x? +I xマ2 ×マー2 ×マー2

A: The left side limit of a function is the value of the function obtained from the left curve of the…

Q: Evaluate the limit 1-04 me 1 Amar lim 3 +3) x+1 x+3 Una

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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: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: lim 2x* - 8x + 16 x--2

A: Given limx→-22x4-8x+16 =2(-2)4-8(-2)+16=2(16)+16+16=32+32=64

Q: 3. Evaluate each limit: x'+7x+12 4x а) im b) lim x +2 x+3

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Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

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Q: Evaluate the following Limits: (i) lim x2 — 4х х-2 (3х-1)2 (ii) lim X-1 х+1

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Q: Find the value of lim f(x), if x→5+ S 6x + 3 f(x) = x 5 2x + 7 O 45 O 17 O 27 O 9 O 14

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Q: Q1. Evaluate each of the following limits: 25 x lim x→5 3x-15 a) b) 2-Vx+1 lim x-3 x-2r lim c) (1+x)

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Q: ind the following limits if they 3. 2. 4x+1 lim x-o x-7 x +2x+x+27 8x 8. lim エー→+ 5.x-7 lim メー→+の 2.…

A: The given limits are: limx→+∞8x5x-7, limx→-∞4x+1x2-7 and limx→+∞x3+2x2+x+27x2-4

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: Find the following limits: 2х — 6 - (а) lim x→3 x² – 9 -

A: Multiple questions-"As per our company guidelines we are suppose to answer only one question.Kindly…

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: x-2 51. lim x-1x-1

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Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: Use direct substitution to find the following limits: 2.x3 + x² – 9x – 1 1. lim x-6 x-6 - 7x+ 8x – 5…

A: As per our guidelines we can solve only one question subpart at a time please resubmit unsolved…

Q: 3. Evaluate the following limits: (a) lim (x² + x) (3x² + 6) (b) lim vu2 + 3u + 6 u→-2

A: (a)  Given limit is : limx→2x2+x3x2+6 Determine to evaluate the given limit.

Q: Determine the following limits. 3x2 + 3x lim xS-0 x + 1

A: the given limit is: limx→-∞3x2+3xx+1 we have to evaluate the given limit.

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: Find the following limits : 2*+3 1) lim x00 3x-1 2x+3 2) lim x--00 3x-1

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Evaluate the limit x2+ 19x-48 lim x²+9x+112 X- - 16 X a. 13 23 O b. 19 23 O C. 00 O d. None of…

A: The detailed solution is given below Thank you

Q: 3x+4 lim 2e x→-1

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Q: Part I-Evaluate the Following Limits: 1. lim 5 X-1 2. lim (- + 2x+ 4) X-1

A: topic - limits

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: