Answer to Question #124116 in Calculus for Fahad

Question

.(a) Use Numerical Method to find Limit of function h(u,v)=bu^α v^(1-α),where b=2.01,α=0.25. Find lim┬((u,v)→(n,n))⁡〖h(u,v).〗 Where n is your arid number (for example if your arid number is 19-arid-12345 then choose n=12345). Choose at least 7 most nearest values of n for both (u,v)(Don’t choose far values from n marks will be deducted in that case). Construct neat table and also perform all calculations. And check whether the limit exist or not? If yes then what’s the value of limit.
(b) Define f(0,0) in a way that extends f(u,v)=uv (u^2-v^2)/(u^2+v^2 ) to be continuous at origin? (Hint: firstly write piecewise define function). Discuss continuity in detail? Also define the condition when this function is discontinuous at (0,0)?

Answer 1

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