30 - L'hopital2

30 - L'hopital2 - x-1 sin x Ex. lim x x-x Limits involving...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
L’Hopital’s Rule Continued L’Hopital’s Rule refers to limits whose result is 0 0 ±or ± . L’Hopital’s Rule: If lim x a f ( x ) 0 lim x a g ( x ) or if lim x a f ( x ) lim x a g ( x ) then lim x a f ( x ) g ( x ) lim x a f ( x ) g ( x ) Suppose we want to find lim x 0 1 x - 1 sin x . The limit is - . We must rewrite the limit as a quotient of the form f ( x ) g ( x ) . lim x 0 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x-1 sin x Ex. lim x x-x Limits involving powers ,1 , Ex. lim x a f ( x ) g ( x ) Ex. lim x cos x 1 x 2 Ex. lim x x x Ex. lim x 1 3 x 5 x 2 x Do: lim x 1 + sin 4 x cot x...
View Full Document

Page1 / 4

30 - L'hopital2 - x-1 sin x Ex. lim x x-x Limits involving...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online