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Prove that an open interval in R is an open set and a closed intervals is a closed set
Prove that an open interval in R is an open set and a closed intervals is a closed set
Prove that an open interval in R is an open set and a closed intervals is a closed set
If f:R^2 to R defined by f(x,y)={((x^2 y^3)/(x^4 + y^2)) if (x,y) # (0,0)
0 if (x,y) = (0,0) . Find the directional derivative of f(x,y) at (0,0)?
Prove that an open interval in R is an open set and a closed intervals is a closed set
Prove that an open interval in R is an open set and a closed intervals is a closed set
Show that if X and Y are sequences such that X and X þ Y are convergent, then Y is convergent.
If f:R^2 to R defined by f(X,y) ={x^2y^3/x^4+y^2. if (x,y)#(0,0)
0 if (X,y) =(0,0). Find the directional derivative of f(X,y) at (0,0)?
If f0(x) = c (c a constant) for all x, to show f(x) = cx + d (Do not use integration)
If fn converges to f and FN is bounded on a set S prove that {fn} is uniformly bounded on S
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