Question 13 Find the limit y limze,)=(0,0) 6 +2 06 2 The limit doesn't exist 1/2...
(л +у)? )1 (а) Find or show that it doesn't exist lim (x,y)-(0,0) 2y2 (b) At what points in R2 is the function (x + y)2 if (r, y)(0,0), f(x,y) otherwise brief explanation continuous? Give a
(л +у)? )1 (а) Find or show that it doesn't exist lim (x,y)-(0,0) 2y2
(b) At what points in R2 is the function (x + y)2 if (r, y)(0,0), f(x,y) otherwise brief explanation continuous? Give a
please answer both of them and show all the steps
, (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2 + y2
, (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2...
Find the limit or explain why it doesn't exist:
3. (8 marks) Find the limit or explain why the limit does not exist: (a) lim 1 + x - V1 - 2 2 (b) lim 2-3 2+2 2----2
Calculate the next limit, if it doesn’t exist, then prove
it.
2 y (b) lim (x,y)→(0,0) sin' y + ln(1 + x2)
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
Show that the following limit does not exist: yf lim (1,y)–(0,0) r4 + 3y4
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
12. Pind the limit (if it exists). If it doesn't exist explain why. Sometr) when - (311) 13. Use the graph to determine the limits and discuss the continuity at x=-1 + 1 - > -3 -2 -1 1 2 3 lim f(x) lim (x) lim/(x) Is The above function continuous at x=-1? 14. Find the values of x (if any) at which the function is not continuous. Which of the discontinuities is removable? f(x)= 7+67+8
Show that the following limit does not exist: 34 lim (x,y)+(0,0) x4 + 3y4
evaluate each limit or explain why it does not exist
(b) 4x² - y² lim (x,y)+(0,0) x2 + 2y2