Bilinear Function: |B(h,k)| / |(h,k)| = 0 for Lim (h,k) -> (0,0)

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{ lim (h,k) -> (0,0) } |B(h,k)| / |(h,k)| = 0 for an arbitrary bilinear function. But why? It seems obvious if B = 0 but this is true for ANY bilinear. I'm trying to figure this out so that I can see the definition a general derivative better.
 
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What does |(h,k)| mean?
 
Presumably, |(h,k)| is the norm of the bilinear argument... which without a bilinear acting upon it is perhaps the norm of the inner product (dot product)?
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
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