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Lim x approaches 0 x x x x?
When the limit of x approaches 0 x approaches the value of x approaches infinity.
Lim x approaches 0 x x x x-?
When the limit of x approaches 0 the degree on n is greater than 0.
Is it true or false that the limit of a function f x at x equals 2 is always the value of the function at x equals 2 that is f 2?
False. It is true for a function that is continuous at x=2, but it is not generally true for all functions. For a counterexample, consider the function f(x), such that: f(x)=x for x not equal to 2 f(x)=0 for x=2 The limit of this function as x approaches 2 is 2 (since we can make f(x) as close to 2 as we want as x gets closer to 2), but f(2) does not equal the limit of f(x) as x approaches 2.
What is the limit as x approaches 2 of x² - 2x over x² - x - 2?
Lim(x→2) (x2 - 2x) / (x2 - x - 2) = Lim(x→2) x(x - 2) / (x - 2)(x + 1) = Lim(x→2) x / (x + 1) = 2/3
Why the number 0 has no reciprocal?
Division by zero is not allowed/defined. So you cannot take 'one over zero', or have zero in the denominator.Without going too technical, a person might say that 1/0 is infinity, and it sounds good. But if you have a function [say f(x) = 1/x] and take the limit of f(x) as x approaches zero, then f(x) approaches infinity as x approaches from the right, but it approaches negative infinity as you approach from the left, therefore the limit does not exist.
