Differential Calculus: Limits : Some important limits

Some important other limits

Result 9.2

Result 9.3

Proof

We know that a x ,loga x are inverses of each other.

Since log f (x) is the inverse of exp( f (x)), exp(log f (x)) = f (x).

Therefore, ax = exp(loga x)

Result 9.4

This number e is also known as transcendental number in the sense that e never satisfies a polynomial (algebraic) equation of the form

Evaluate the following limits :

Tags : Mathematics , 11th Mathematics : UNIT 9 : Differential Calculus Limits and Continuity

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11th Mathematics : UNIT 9 : Differential Calculus Limits and Continuity : Some important other limits | Mathematics

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