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find the limit if it exists, or show that it does not exist. lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2
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- Let f(x)=2x2+7f(x)=2x2+7. Evaluate limh→0f(−2+h)−f(−2)h.limh→0f(−2+h)−f(−2)h. (If the limit does not exist, enter "DNE".) Limit =CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim jcx+h)-j(x)_ 9(x+h)-g(x) h. C.) f(x) Lim +g(xJ•Lim (xth)-f(x) %3DFind the limit of the Function if it exists? lim (x,y) to (0,0) ytanx /3x^2 +y^2
- Find the limit, if it exists, or type N if it does not exist. lim(x,y)→(0,0) 4x^2/3x^2+2y^2Let ƒ(x) = (x2 - 9)/(x + 3). Make a table of the values of ƒ at the points x = -3.1,-3.01, -3.001, and so on as far as your calculator can go.Then estimate limx→ -3 ƒ(x). What estimate do you arrive at ifyou evaluate ƒ at x = -2.9, -2.99, -2.999,c instead?Use L'Hospital rule to find the limit. lim (Va2 – 6x – x) - 3