Question

Use the Squeeze Theorem for Limits at −∞ to find

lim as x→−∞(cosx−x)

Answer #1

how do i show the lim as x approaches 0 of ((x^2-9)(x-3)/|x-3|)
by the squeeze theorem

1. Evaluate the limit
lim x→0 sin4x /7x
2. In which limits below can we use L'Hospital's Rule? select
all that apply.
lim x→∞ e^−x /x
lim x→0 1−e^x /sin(2x)
lim x→0 x+tanx /sinx
lim x→−∞ e^−x /x

Finding Limits: Use L’Hopital’s rule to evaluate the limit .
SHOW WORK .
8. lim┬(x→-1)〖(x-8x^2)/(12x^2+5x)〗
9. lim┬(x→0)〖sin5x/(2x^2 )〗

Use the Existence and Uniqueness Theorem to find the maximum
interval for the existing unique solution for this IVP: ((x^2)-9)y'
+ (x + 3)y = cosx and y(0) = 0

Compute the following limits and show all your work:
(a) A = lim x→∞ [3x^2 −4/x^2 +10lnx]
(b) B = lim x→2+ [(x-2)^2ln(x-1)]
̧
.

Limits Analytically
3) Calculate the following limit . showing all work for full
credit!
lim √x+h+4 - √x+4 / h
h--> 0
4) Use algebra and the fact learned about the limits of sin x /
x to calculate the following limit analytically, showing all
work!
*note* sin x / x = 1 as x-->0
solve:
lim sin(2L) / sin (5L)
L--> 0

hi guys , using this definition for limits in higher dimensions
:
lim (x,y)→(a,b) f(x, y) = L
if 1. ∃r > 0 s.th. f(x, y) is defined when 0 < || (x, y) −
(a, b) || < r
and 2. given ε > 0 we can find δ > 0 s.th. 0 < || (x,
y) − (a, b) || < δ =⇒ | f(x, y) − L | < ε
how do i show that this is...

use Rolle"s theorem to prove that 2x-2-cosx=0 has exactly one
real solution

Use the Maclaurin series for cos(?) , ????(?), and ??
to evaluate the following limits:
a. lim ?→0 −? − 1+?x / 5? 2 .
b. lim ?→0 ? − ???? / ?3 ????

limit to infinity: (n!)/(n^n) using squeeze theorem
explained

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 18 minutes ago

asked 19 minutes ago

asked 31 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago