What is the purpose of squeeze theorem and its application in the real world?
Answer Hi Lubabalo, The Squeeze Theorem is a theorem regarding the limit of a function. It is used in an effort to simplify the computation of otherwise complicated limits. Suppose we have a function f(x) whose limit is difficult to find but we know that its value is always inclusively in between the values of two other functions g(x) and h(x) i.e g(x) <= f(x) <= h(x) and lets say that we know that the limits of g(x) and h(x) at a particular value x = a to be equal to some L, then the limit of f(x) at x = a is also L. This is the Squeeze Theorem. As an example, lets say that we want to find the limit of sinx/x as x approaches 0. We know that for 0 < x < #/2 where # represents pi sinx < x < tanx considering sinx < x and dividing both sides by x sinx/x < 1 considering x < tanx and multiplying both sides by cosx x.cosx < sinx sinx/x > cosx combining the two inequalities gives cosx < sinx/x < 1 We can also show this for when -#/2 < x < 0 and therefore show that for -#/2 < x < #/2, cosx < s
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