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 
= L (says, then 
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 
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.
