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Question 3 0/1 pts r-2 lim Does not exist O 0 oo (which means 'does not...
6. Use the following information to answer this problem: f(-1) does not exist lim f(r)- 00...
6. Use the following information to answer this problem: f(-1) does not exist lim f(r)- 00 z-+-1- lim f(r)00 2-1+ f'(x) <0 for e (1, 00) f'(z)>0 for r e (-oo,-1)U (-1,1) f"(a)<o for z E (-1, 00) f" (a)>0 for z E (-00,-1) a) (6 pts) Label all of the important r-values derived from the information provided above on the number line below. Then indicate the intervals along this line where f'(r) and f"(r) are positive or negative. f"(z)...
QUESTION 2 Find lim xy +1 (x, y)*(0,0) x2 +y2-1 O-1 O 2 00 O Does...
QUESTION 2 Find lim xy +1 (x, y)*(0,0) x2 +y2-1 O-1 O 2 00 O Does not exist.
For which of the following functions does lim 2->0 (2) exist? -1, x < 0 1....
For which of the following functions does lim 2->0 (2) exist? -1, x < 0 1. f(x) = { 0, x=0 (1,2 > 0 2. f(x) = {1x1, x 70 (1,2 = 0 sin(x) 3. f(x) = { (1, x = 0 2,270 1 only 3 only 1 and 3 only 2 and 3 only 2 only
1. A series has the property that lim an = 0. Which of the following is...
1. A series has the property that lim an = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (a) There is not enough information to determine whether the series converges or diverges. 1 n-00 2 2. A sequence {sn} of partial sums of the series an has the property that lim sn Which of the...
Find each limit. Use – o or oo when appropriate. 3x-3 f(x) = (x-3)2 (A) lim...
Find each limit. Use – o or oo when appropriate. 3x-3 f(x) = (x-3)2 (A) lim f(x) (B) lim f(x) (C) lim X +3 f(x) x+3 x+3+ (A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x)= x+3 (Simplify your answer.) O B. The limit does not exist. (B) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A....
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0...
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
just number 16 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1...
just number 16
15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
Use any valid analytical method from Calculus 1 to find lim 2473- (x- oo 0-00 O...
Use any valid analytical method from Calculus 1 to find lim 2473- (x- oo 0-00 O 00 O 1
(1 point) Find lim vx+10. If the limit increases or decreases without bound, write inf or -inf, respectively. If it does not exist and cannot be represented by +oo or -oo, enter DNE. i.) If the limit...
(1 point) Find lim vx+10. If the limit increases or decreases without bound, write inf or -inf, respectively. If it does not exist and cannot be represented by +oo or -oo, enter DNE. i.) If the limit does not exist, explain why. Check ALL that apply: A. The function is not defined beyond a particular bound in the direction of-co B. The function's behavior as x increases/decreases without bound does not approach one set value (for example, if the function...
1. Consider the function -F5 sin(r) for r f(x) =2 for 1< 3 2-25 for 3...
1. Consider the function -F5 sin(r) for r f(x) =2 for 1< 3 2-25 for 3 x2 -9x + 20 Evaluate the following limits You do not have to cite limit laws, but you must show how you arrived at your answer If a limit Does Not Exist, explain why. You should use oo or -oo where applicable Calculating the limit using L'Hopital's Rule will receive NO CREDIT. (a) lim f(x) r-+0 (b) lim f(x)= z-1 (e) lim f(z) (d)...
6. Use the following information to answer this problem: f(-1) does not exist lim f(r)- 00 z-+-1- lim f(r)00 2-1+ f'(x) <0 for e (1, 00) f'(z)>0 for r e (-oo,-1)U (-1,1) f"(a)<o for z E (-1, 00) f" (a)>0 for z E (-00,-1) a) (6 pts) Label all of the important r-values derived from the information provided above on the number line below. Then indicate the intervals along this line where f'(r) and f"(r) are positive or negative. f"(z)...
QUESTION 2 Find lim xy +1 (x, y)*(0,0) x2 +y2-1 O-1 O 2 00 O Does not exist.
For which of the following functions does lim 2->0 (2) exist? -1, x < 0 1. f(x) = { 0, x=0 (1,2 > 0 2. f(x) = {1x1, x 70 (1,2 = 0 sin(x) 3. f(x) = { (1, x = 0 2,270 1 only 3 only 1 and 3 only 2 and 3 only 2 only
1. A series has the property that lim an = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (a) There is not enough information to determine whether the series converges or diverges. 1 n-00 2 2. A sequence {sn} of partial sums of the series an has the property that lim sn Which of the...
Find each limit. Use – o or oo when appropriate. 3x-3 f(x) = (x-3)2 (A) lim f(x) (B) lim f(x) (C) lim X +3 f(x) x+3 x+3+ (A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x)= x+3 (Simplify your answer.) O B. The limit does not exist. (B) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A....
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
just number 16
15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
Use any valid analytical method from Calculus 1 to find lim 2473- (x- oo 0-00 O 00 O 1
(1 point) Find lim vx+10. If the limit increases or decreases without bound, write inf or -inf, respectively. If it does not exist and cannot be represented by +oo or -oo, enter DNE. i.) If the limit does not exist, explain why. Check ALL that apply: A. The function is not defined beyond a particular bound in the direction of-co B. The function's behavior as x increases/decreases without bound does not approach one set value (for example, if the function...
1. Consider the function -F5 sin(r) for r f(x) =2 for 1< 3 2-25 for 3 x2 -9x + 20 Evaluate the following limits You do not have to cite limit laws, but you must show how you arrived at your answer If a limit Does Not Exist, explain why. You should use oo or -oo where applicable Calculating the limit using L'Hopital's Rule will receive NO CREDIT. (a) lim f(x) r-+0 (b) lim f(x)= z-1 (e) lim f(z) (d)...
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