lista5 - MAT001 Clculo Diferencial e Integral 1 Projeto...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
MAT001 Cálculo Diferencial e Integral 1 Projeto Turmas Especiais Quinta lista de exercícios 1. Calcule os limites: (a) 0 ln( ) lim x x x →+ (b) 3 0 sen( ) lim x x x x (c) () 2 ln lim x x x →∞ (d) 1 lim tan x x x →∞ ⎛⎞ ⎜⎟ ⎝⎠ (e) /2 tan( ) lim tan(3 ) x x x π (f) 0 tan( ) lim tan( ) x px qx , . 0 q (g) 2 3 lim x x x e →∞ (h) 0 lim ln x x x (i) 2 lim x x x e →−∞ (j) 0 lim sen( ) ln( ) x x x (k) 0 sen (4 ) lim 23 x x x + (l) lim ( ln ) x x x (m) ( ) 2 lim x x xx +− (n) 0 tan lim sen x x x x + (o) 0 11 lim sen x x x (p) 0 arctan lim sen x x x x x (q) x x x 1 lim 2 + −∞ (r) lim 1 bx x a x →∞ + (s) lim 1 x x x x + (t) ( ) 1/ lim x x x ex →∞ + (u) 21 lim 25 x x x x + →∞ + (v) ( ) /ln 0 lim px x x (w) (x) 2 1/ 0 lim cos x x x 1/ 0 lim (1 2 ) x x x (y) (z) tan lim sen x x x ( 0 lim tan(2 ) x x ) x Respostas: a) b) 6 1 c) 0 d) 1 e) 3 f) q p g) 0 h) 0 i) 0 j) 0 k) 0 l) m) 2 1 n) 2 o) 0 p) 2 q)-1 r) ab e s) e 1 t) e u) v) w) 8 e p e e 1 x) 2 1 e y) 1 z) 2 1 e
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. Esboce o gráfico das funções abaixo, indicando de maneira clara, quando existirem, todos os pontos críticos, pontos de máximo e mínimo locais, pontos
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

lista5 - MAT001 Clculo Diferencial e Integral 1 Projeto...

This preview shows document pages 1 - 3. Sign up to view the full document.

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