Sandwich Theorem

==2024-11-15

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Theory

Given, $g(x)\le f(x)\le h(x)$ then, ${\lim }_{x\to x_o}g(x)={\lim }_{x\to x_o}h(x)⟹{\lim }_{x\to x_o}f(x)$

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Examples

$2-x^2\le g(x)\le 2cosx⟹{\lim }_{x\to 0}g(x)=2$

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PTR