DETAILS Determine which of the limits below exist as a number, , or-, and which do not exist. If the limit is a number, evaluate it and enter the number in the blank; if you need for an answer, choose it from Symbols on MathPad. If the limit is not a number, enter DNE. 1-37 35²²-15t 3-71- 1-37 351-15r b. lim M . 3-78 35²-158

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.
2.
DETAILS
Determine which of the limits below exist as a number, , or -, and which do not exist. If the limit is a number, evaluate it and enter the number in the blank; if you need for an answer, choose it from Symbols on MathPad. If the limit is not a number, enter DNE.
a. lim
1-3/7 351²-15t
3-7t
1-3/7 35²-15t
b. lim
clim
3-7t
352²-15t
DETAILS
Find an integer in so that the interval of the form [n, ne13 contains a solution to the equation x²-1.
The integer is n-
(a) if f(x)=x²+-1, then f(n) and f(n+1)=
(b) The function f is continuous on the interval(s)
0 (100)
((,0)
O (-, a) U (a, =)
© (-0, 5] U (0, 0)
Choose the largest set possible and give the values for a and/or b. Enter DNE in any empty blank.
..
The theorem that tells us that the solution must be in the interval [n, n+1] is the
tymbolic formatting held
(you must write out the full name, correctly spelled).
Transcribed Image Text:1. 2. DETAILS Determine which of the limits below exist as a number, , or -, and which do not exist. If the limit is a number, evaluate it and enter the number in the blank; if you need for an answer, choose it from Symbols on MathPad. If the limit is not a number, enter DNE. a. lim 1-3/7 351²-15t 3-7t 1-3/7 35²-15t b. lim clim 3-7t 352²-15t DETAILS Find an integer in so that the interval of the form [n, ne13 contains a solution to the equation x²-1. The integer is n- (a) if f(x)=x²+-1, then f(n) and f(n+1)= (b) The function f is continuous on the interval(s) 0 (100) ((,0) O (-, a) U (a, =) © (-0, 5] U (0, 0) Choose the largest set possible and give the values for a and/or b. Enter DNE in any empty blank. .. The theorem that tells us that the solution must be in the interval [n, n+1] is the tymbolic formatting held (you must write out the full name, correctly spelled).
1-
4.
Determine whether lim
x-2
lim-"
x-2"
DETAILS
5
√2-1
DETAILS
35-7x
lim
x-5 sin(5x-25)
2
35-7x
Determine whether ims sin(5x-25)
=
C.
2
b. f(x)=sin(2x - 2)
exists as a number, as or- or does not exist. If the limit is a number, enter it in the blank; if you need for your answer, select it from Symbols on calcPad or type infinity; if the limit does not exist, enter DNE.
DETAILS
For which of the following functions f can we define f(a) so as to make f continuous at a? For those we can, find the value of f (a) that makes / continuous at a. For those we can't, enter None.
a. f(x) = x² + 5x + 6
x+3
F(x) = x^²-6-2
x+6
exists as a number, as or- or does not exist. If the limit is a number, enter the value in the blank; if you need in your answer, choose it from Symbols; if the limit does not exist, choose UNDEF from Symbols..
a-3
a=1
a=0
f(-3) =
f(1) =
f(0) =
*
"
Transcribed Image Text:1- 4. Determine whether lim x-2 lim-" x-2" DETAILS 5 √2-1 DETAILS 35-7x lim x-5 sin(5x-25) 2 35-7x Determine whether ims sin(5x-25) = C. 2 b. f(x)=sin(2x - 2) exists as a number, as or- or does not exist. If the limit is a number, enter it in the blank; if you need for your answer, select it from Symbols on calcPad or type infinity; if the limit does not exist, enter DNE. DETAILS For which of the following functions f can we define f(a) so as to make f continuous at a? For those we can, find the value of f (a) that makes / continuous at a. For those we can't, enter None. a. f(x) = x² + 5x + 6 x+3 F(x) = x^²-6-2 x+6 exists as a number, as or- or does not exist. If the limit is a number, enter the value in the blank; if you need in your answer, choose it from Symbols; if the limit does not exist, choose UNDEF from Symbols.. a-3 a=1 a=0 f(-3) = f(1) = f(0) = * "
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