How to find the limit of functions in calculus. Step by step examples, videos and short definitions in plain English. Calculus made clear!
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(3) Thinking about the shape of the graph (no calculus needed), what is the largest value of f(x,y) = {1 / 1 + x^2 + y^4} ? (4) Evaluate limit_{(x,y) to (1,2)} e^{(x - y)^2}. Consider f(x...
Multiplication and division are more elusive, but the key is to not try to go to them directly. Let's try to find some other functions that a calculator might provide. Here are some simple functions: f(x) = x+1 f(x) = 2x f(x) = x/2 f(x) = x2 One of these, f(x)...
Ritt thought of elementary numbers as the smallest algebraically closed subfield L of C that is closed under exp and log. It so happens that terminology has evolved since Ritt, so that L is now known as the field of Liouvillian numbers, and "elementary numbers" are now numbers that can be...