limit factorization method
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When we encounter limits with square roots, multiplying the numerator and denominator by the conjugate followed by factoring is usually the solution.
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Hello Friend
The notion of limit is very intimately related to the intuitive idea of nearness or closeness. Degree of such closeness cannot be described in terms of basic algebraic operations of addition and multiplication and their inverse operations subtraction and division respectively. It comes into play in situations where one quantity depends on another varying quantity and we have to know the behaviour of the first when the second is very close to a fixed given value.
Let us look at some examples, which will help in clarifying the concept of a limit. Consider the function f : R R given by
f(x) = x + 4.
The notion of limit is very intimately related to the intuitive idea of nearness or closeness. Degree of such closeness cannot be described in terms of basic algebraic operations of addition and multiplication and their inverse operations subtraction and division respectively. It comes into play in situations where one quantity depends on another varying quantity and we have to know the behaviour of the first when the second is very close to a fixed given value.
Let us look at some examples, which will help in clarifying the concept of a limit. Consider the function f : R R given by
f(x) = x + 4.
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