For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx. (x,y)-(0,0)" (b) Find 3 lim f(x,y) along the curve y=x³ (x,y)-(0,0) (c) What can be said about lim f(x,y)? (x,y)(0,0)

Q: does not exist

A: Given that:  The limit   lim(x,y)→(0, 0 ) x2 + yx2 + y2   .

Q: What is lim f(z) z→1 9(2) given f(x) = e2" and g(x) 3x2 – 3x + 6 ?

A:

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

A:

Q: Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

A: Given :                     lim(x,y)→(0,0) xy4x2+y8 We know that if the limit exists, all paths…

Q: 2f(x)=x² x-1 f(x)+1 3. If lim f(x) = 2, what is the value of lim a) 0 b) 1 ? c) 2 d)

A: Given: Limit ( x-> 1) f(x) = 2  Need to find- Limit ( x-> 1) [ 2f(x) - x2 / f(x) + 1 ]

Q: I Let f: IR→IR and suppose that lim fcx, y) = 5. (x,y) (1,3) that can you say about the value…

A:

Q: 7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined…

A:

Q: f(3+ h) – f(3) (4) 7. For f(r) = x² – 4x + 5, determine lim h0 h (6) 8. Consider the curve defined…

A:

Q: 1) The graph of a function y = f(x) has the line y = -2x + 5 as its tangent at the point (3, 10).…

A:

Q: Find : lim x*-4y2 if it exists. а. (x,y)→(0,0) x²+2y2 x²y+xy² b. lim if it exists. (х,у)-(2,-1)…

A: Given To check it is exist or not  If it exists then find the value

Q: lim ( Vy? – y) y² + y +1 – y00

A: limy→∞y2+y+1-y2-y

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: Determine the limits xy-y-7x+7 lim (x,y)→(1,4) x-1 lim x² (x,y) (0.0) x² + y²

A: 1. (x,y)→(1,4)lim​x−1xy−y−7x+7​We will factor the numerator:• Group the terms: xy - y - 7x + 7 = y(x…

Q: lim (x, y) - (6, -2) (x?y + 5xy2 + 4)

A: NOTE: Refresh your page if you can't see any equations. . substitute x=6 and y=-2

Q: #1 Let f: IR→IR and Suppose What can you say you say about the value (x,y) = (1,3) f(1,3)? that lim…

A:

Q: Lnx 8) lim 3 X X→∞

A: We will find the limit as following.