Answer to Question #186269 in Calculus for noman

Question

. Use Numerical Method to find Limit of function h(u,v)=(u^4-v^4)/(u^4+v^4 ) . 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 4 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. 

Answer 1

$h(u,v)=\dfrac{u^4-v^4}{u^4+v^4}$

$lim_{(u,v)\to (n,n)}$ =0