Sandwich Theorem || স্যান্ডউইজ উপপাদ্য || Higher Math || Differentiation

The Sandwich Theorem, also known as the Squeeze Theorem, is a fundamental concept in calculus. It helps determine the limit of a function that is “squeezed” between two other functions whose limits are known. Statement If ( f(x) ), ( g(x) ), and ( h(x) ) are functions such that: [ f(x) \leq g(x) \leq h(x) ] for all ( x ) in some interval around ( a ) (except possibly at ( a ) itself), and if: [ \lim_{{x \to a}} f(x) = \lim_{{x \to a}} h(x) = L ] then: [ \lim_{{x \to a}} g(x) = L ] Example Consider the functions: [ f(x) = x^2 \sin\left(\frac{1}{x}\right) ] [ g(x) = -x^2 ] [ h(x) = x^2 ]