Indeterminate Forms
December 8, 2016
Categorised in: 1st Year Maths 1
Seven indeterminate forms:
$0/0, ∞/∞, 0*∞, ∞ – ∞, 0^0, ∞^0, 1^∞$
0/0 Form: L’Hospital Rule
$\lim↙{x→a} {f(x)}/{g(x)} = \lim↙{x→a} {f'(x)}/{g'(x)}$
∞/∞ Form:
Write: $ {f(x)}/{g(x)} \text" as " {{1}/{g(x)}}/{{1}/{f(x)}}$
0 x ∞ Form:
f(x) . g(x) = ${f(x)}/{{1}/{g(x)}}$
∞ – ∞ Form:
Convert into any of the first 2 forms n apply L’Hospital Rule
$0^0$ Form:
$L = e^b$
where, $b = \lim↙{x→a} g(x) log f(x)$
Pratik Kataria is currently learning Springboot and Hibernate.
Technologies known and worked on: C/C++, Java, Python, JavaScript, HTML, CSS, WordPress, Angular, Ionic, MongoDB, SQL and Android.
Softwares known and worked on: Adobe Photoshop, Adobe Illustrator and Adobe After Effects.