2 3 053 x 09 099 0999 1001 101 11 f x 038 048 049 0501 051 063 Y X 1 1 f x Y X

2 3 053 x 09 099 0999 1001 101 11 f x 038 048 049

This preview shows page 396 - 399 out of 640 pages.

2 3 053 x 0 0,9 0,99 0,999 1,001 1,01 1,1 f ( x ) 0 0,38 0,48 0,49 0,501 0,51 0,63 Y X 1 1 f ( x ) Y X 1 1 g ( x )
Image of page 396
397 9 SOLUCIONARIO Determina los límites, y si es preciso, calcula los límites laterales. a) c) b) d) a) b) c) d) Halla los límites. a) b) c) d) a) b) c) d) Dada la función f ( x ) definida a trozos, encuentra los límites. a) c) e) g) b) d) f ) h) a) d) g) b) e) h) . c) f ) lim x f x 3 9 2 = ( ) lim x f x = − 2 3 ( ) lim x f x 3 ( ) no existe lim x f x = − 2 3 ( ) lim x f x + = + ( ) lim x f x 3 5 + = − ( ) lim x f x + = − 2 3 ( ) lim x f x = − ( ) lim f x x 3 ( ) lim f x x 3 ( ) lim f x x + 2 ( ) lim f x x + ( ) lim f x x 3 + ( ) lim f x x 2 ( ) lim f x x 2 ( ) lim f x x ( ) f x x x x x x x x ( ) = + < − − ≤ < + 2 1 2 9 1 2 3 6 32 3 2 si si si 058 lim cos x x sen x π + = + lim cos x x sen x π = − lim cos x x sen x π 1 0 lim x sen x 3 2 1 π = − lim x tg x π 2 + = − lim x tg x π 2 = + lim x tg x π 2 1 0 lim cos x x π = − 1 lim x x x π cos sen lim x x 3 2 π sen lim x x π 2 tg lim x x π cos 057 lim x x x x 1 2 4 2 2 1 + + = + lim x x x x 1 2 4 2 2 1 + = + lim x x x x 1 2 4 2 2 1 2 0 + lim x x x x 4 2 2 8 2 + + = − lim x x x x 4 2 2 8 2 + = + lim x x x x 4 2 2 8 2 24 0 + lim x x 3 2 3 9 + = − lim x x 3 2 3 9 = + lim x x 3 2 3 9 3 0 lim x x x 2 2 6 2 + + = + lim x x x 2 2 6 2 + = − lim x x x 2 2 6 2 10 0 + lim x x x x 1 2 4 2 2 1 + lim x x 3 2 3 9 lim x x x x 4 2 2 8 2 + lim x x x 2 2 6 2 + 056
Image of page 397
398 Límite de una función Calcula los límites laterales y el siguiente límite. Resuelve los límites. a) d) b) e) c) f ) a) b) c) d) lim lim x x x x x x x x x 5 3 2 3 2 5 9 15 25 5 2 10 5 + + + = ( ) ( ) ( )( ) x x x x x x x x 2 2 5 2 2 4 5 5 2 4 5 2 0 + = + = lim lim x x x x x x x 5 3 2 3 2 9 15 25 5 2 10 0 0 + + + lim lim x x x x x x x x x →− →− 4 3 2 3 2 4 3 12 4 7 14 8 4 + + + + = + ( )( ) ( )( ) 3 1 4 3 2 3 1 3 2 2 4 2 2 x x x x x x x x + + + = = + + lim →− 2 47 6 = lim x x x x x x x →− 4 3 2 3 2 3 12 4 7 14 8 0 0 + + + + lim lim x x x x x x x x x 2 2 2 2 2 9 10 3 7 2 2 2 5 + + = ( )( ) ( = = − 2 3 1 2 5 3 1 1 5 2 )( ) x x x x lim lim x x x x x 2 2 2 2 9 10 3 7 2 0 0 + + lim lim x x x x x x x x + + + = + 3 3 2 3 3 1 3 2 3 1 ( )( ) ( )( ) = 9 2 lim x x x x x + + + 3 2 3 3 1 3 0 0 ( )( ) ( )( ) lim x x x x x x x 1 3 2 3 2 1 2 + + + lim x x x x x x x + + + + 4 3 2 3 2 3 12 4 7 14 8 lim x x x x x 2 2 2 2 11 14 4 16 16 + + lim x x x x x 2 2 2 2 9 10 3 7 2 + + lim x x x x x x x 5 3 2 3 2 9 15 25 5 2 10 + + + lim x x x x x + + + 3 2 3 3 1 3 ( )( ) ( )( ) 060 lim lim x x x x x x x x x x 3 2 2 3 2 2 6 6 9 6 6 9 + + = + + = + + = + lim x x x x x 3 2 2 6 6 9 lim lim x x x x x x x x x 3 2 2 3 2 6 6 9 3 2 3 + = + = ( )( ) ( ) lim x x x 3
Image of page 398
Image of page 399

You've reached the end of your free preview.

Want to read all 640 pages?

  • Winter '15
  • palmerdev

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors