By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). х 41. f(x, y) = - 42. f(x, y) = V + x* + y? x4 43. f(x, y) y2 ху 44. f(x, y) =...

By considering different paths of approach, show that the functions in<br>Exercises 41–48 have no limit as (x, y) → (0, 0).<br>х<br>41. f(x, y) = -<br>42. f(x, y) =<br>V +<br>x* + y?<br>x4<br>43. f(x, y)<br>y2<br>ху<br>44. f(x, y) =<br>|xy|<br>x* + y?<br>x² –<br>46. g(x, y) =<br>х — у<br>y<br>45. g(x, y) =<br>x + y<br>х — у<br>47. h(x, y)<br>x? + y<br>x²y<br>48. h(х, у) 3<br>x* + y?<br>

Extracted text: By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). х 41. f(x, y) = - 42. f(x, y) = V + x* + y? x4 43. f(x, y) y2 ху 44. f(x, y) = |xy| x* + y? x² – 46. g(x, y) = х — у y 45. g(x, y) = x + y х — у 47. h(x, y) x? + y x²y 48. h(х, у) 3 x* + y?

Jun 05, 2022

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By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). х 41. f(x, y) = - 42. f(x, y) = V + x* + y? x4 43. f(x, y) y2 ху 44. f(x, y) =...

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