Sandwich Theorem and LHospitals Rule

Limit and Derivative of Class 11

Sandwich Theorem

If f,g,h are functions such that f(x) ≤ g(x) ≤ h(x) then in small interval around 'x = a' and if Sandwich Theorem and L’Hospital's Rule= L (says, then limits g(x) = L

L’Hospital's Rule

Let f(x) and g(x) be two functions such that f(a) = 0 and g(a) = 0

then Sandwich Theorem and L’Hospital's Rule

provided f′(x) and g′(x) are not both zero.

For other indeterminate form we have to convert them into either 0/0 or ∞/∞ and then we may apply L’Hospital's Rule.

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