Evaluate the following limit. lim ef(x,y)²-6g(x,y) (x,y)→(2,5)

Q: Find the limit

A: To find the limit.

Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4

A: We can evaluate the limit in the following steps.

Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Find the Hhe Teast square doluticn E of -6 -7 La %3D ->

A: From A we can write AT = 100010 ATA = 100010100100 = 1001

Q: Given that f(x) = 2x² +1, find:“ f(x+h)- f(x) f(x+h)– f(x). lim h→0 h h

A:

Q: Compute 9-¹1 (mod 19) using Fermat's Little Theorem. Show your work.

A:

Q: Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) lim (x²y -…

A:

Q: 1.) Calculate the limit: lim(2x² – 6x +1)

A: We have to find the limit of the function: limx→22x2-6x+1 Since this is determinate limit so we just…

Q: sec x lim sec(3x)

A:

Q: Vy? + 2 Find the limit: 1lim y+00 5y – 6

A: given,        limy→∞y2+25y-6

Q: Explain why you cannot use the substitution to determinate the limit lim(x->inf)(|x|/x)  Does the…

A: Substitution means we directly substitute the value of x in the function.

Q: Evaluate the limit: lim:→-6 (t², −8t, ½ ) = (00

A: we have given limit to evaluate

Q: (b) lim Sx6 x-2 1. Find the limit: x-2

A: The given limit is: limx→2x2-5x+6x-2 To find the value of the limit.

Q: 3. (4 points) Find the limit (if it exists): 2xh – 5h + 3h? lim h

A: limit value=?

Q: lim (x,y)-(-3,4) (x³ +3x²y² - 5y³ +1)

A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: Given information:Given function,To find:Evaluate the limit of the function.Concept used:To evaluate…

Q: Find the limits. F(x) = 2x? - 3x + 4, g(x) = Vx+ 2 (a) lim f(x) x-2 (b) 9(x) lim g(f(x)) = X-2

A: We have to find the limit

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 limx→∞(1+1x)3x.

A: we have to find the limit : limx→∞(1+x)(3x)

Q: Find the limits

A: We have to find the limit: limx, y→2, -31x+1y2 Just putting the value of limit limx, y→2,…

Q: Evaluate the limit t³ - 1 1 lim t 1 ²

A:

Q: Find the limits lim (Vr + x - V – x) X00

A: Given: Let y=limx→∞x2+x-x2-x To Find: To evaluate the given limit.

Q: Find the limit: 5x4 - 5y lim (x,y) →(4,4) x2 - у² - уг ||

A:

Q: Please show step-by-step solution

A:

Q: Find the limit

A:

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below