Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16 y² O Does not exist. 0 0 O None of the others.

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Calculate the following limit: -5•x3 + 22· x² -6•x lim X +0 7.x2 – 35 · x

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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 lim x→3- x2 – 9 for o, -inf for -o, and DNE

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Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Determine the limit shown below in simplest form. Answer: lim x → 5 x² + 2x - 15 x² - 25 Submit…

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Q: Evaluate the following limits. If needed, enter 'INF' for ool and '-INF for -o0. (a) V7 + 9x² lim I…

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Q: Find the limit. x+2)(x+61) lim (x+2) X→-6* O A. 8 OB. 4 OC. -4 OD. The limit does not exist.

A: Topic = Limits Correct option = C

Q: Find the limits 2 lim as (x – 1)2/3 a. x→0+ b. x→0 c. x→1+ с. d. x→F

A: Given function is fx=1x23+2x-123

Q: 2. Find the following limit: Va² +2 limr+ 3æ-6 °

A: Using the property of limits,

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: Evaluate Given Limits a. Lim (6h+h²+3) →>0 b. Limo 4h+h² 4 c. Lim (1+2h+h² +2+2h) d. Limo 2xh+h²-2h…

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Q: 4. Find the limit: lim (b) lim -5x+4 x-4 X-4

A: We can find the limit using the L'Hospital rule.

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…