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3. (5 points each) Evaluate the following limits or state that they do not exist ("DNE")....
explain clearly please Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work....
explain clearly please
Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work. If the limit does not exist, then write DNE and explain why it does not exist. You may use L'Hospial's rule but if you do you must specify that you have done so. (a) lim (e-2x + 2 tan-? (3.)) (5) limun (2+1) (c) lim a tan (1/1)
please show steps Evaluate the following limits using appropriate methods. Be sure to indicate each time...
please show steps
Evaluate the following limits using appropriate methods. Be sure to indicate each time L'Hôpital's Rule is used and the indeterminate form sin(1 - 32) 1. lim 2-1 -1
3. (5 pts. each) Evaluate the following limits if they exist. If the limit does not...
3. (5 pts. each) Evaluate the following limits if they exist. If the limit does not exist, then use the Two-Path Test to show that it does not exist. 5x²y (a) lim (x,y)=(0,0) **+3y2 (b) lim (x,y)-(1,-1) 1+xyz
Evaluate the following limits. If you use L'Hopital's Rule, indicate on your paper that you have...
Evaluate the following limits. If you use L'Hopital's Rule, indicate on your paper that you have done so. If a limit is oo or - 0, then write oo or -oo. You may write DNE for does not exist. x² – 1 a.) lim Preview 7+1 In 4.q7 = - b.) lim 1+ I-4 2 – 3. - 4 Preview et -1 c.) lim 1+0 - sin(4x) Preview d.) limsin 4x = Preview Preview
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's r...
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1
Question 2 (10 marks) In this question you must state if you use any...
#2 1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3...
#2
1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3 lim 2+3 22 – 5x + 6 Note that 3 is a zero of the denominator polynomial, so you need to use the technique of Example 4.2.5(d) p. 113. 2. (8 points) In the previous problem, can L'Hôpital's Rule be applied? If so, evaluate the limit using L'Hôpital's Rule; if not, indicate how the limit expression does not satisfy the conditions required for L'Hôpital's...
(b) Evaluate the following limits or explain why they do not exist: Hint: you do not...
(b) Evaluate the following limits or explain why they do not exist: Hint: you do not have to give e, 6 type arguments; use the properties given in the notes. (i) (1P.) 3z2i lim 2-1 z 4z2 + z (ii) (2P.) Re(z) lim Im(2)
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write...
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL's RULE!!) 1 – cos(x). lim 20 x2 (b) (5 points) You CAN use DE L'HOPITAL's RULE!!) In(1+6x) lim 10 2
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write...
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL'S RULE!!) lim 1 - cos(x). 1-0 .22 (b) (5 points) You CAN use DE L'HOPITAL'S RULE!!) In(1 +6x) lim 2-0 C
3. Limits. The limits below do not exist. For each limit find two approach paths giving...
3. Limits. The limits below do not exist. For each limit find two approach paths giving different limits Calculate the limits along each path. You may want to use Taylor series expansions to simplify the limits. sin (x) (1-cos (y) a) lim (y)(0,0 x+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 b) lim (y)(8,0) cosx + In(1+ PATH 1: LIMIT 1 PATH 2: LIMIT 2
3. Limits. The limits below do not exist. For each limit find two approach...
explain clearly please
Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work. If the limit does not exist, then write DNE and explain why it does not exist. You may use L'Hospial's rule but if you do you must specify that you have done so. (a) lim (e-2x + 2 tan-? (3.)) (5) limun (2+1) (c) lim a tan (1/1)
please show steps
Evaluate the following limits using appropriate methods. Be sure to indicate each time L'Hôpital's Rule is used and the indeterminate form sin(1 - 32) 1. lim 2-1 -1
3. (5 pts. each) Evaluate the following limits if they exist. If the limit does not exist, then use the Two-Path Test to show that it does not exist. 5x²y (a) lim (x,y)=(0,0) **+3y2 (b) lim (x,y)-(1,-1) 1+xyz
Evaluate the following limits. If you use L'Hopital's Rule, indicate on your paper that you have done so. If a limit is oo or - 0, then write oo or -oo. You may write DNE for does not exist. x² – 1 a.) lim Preview 7+1 In 4.q7 = - b.) lim 1+ I-4 2 – 3. - 4 Preview et -1 c.) lim 1+0 - sin(4x) Preview d.) limsin 4x = Preview Preview
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1
Question 2 (10 marks) In this question you must state if you use any...
#2
1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3 lim 2+3 22 – 5x + 6 Note that 3 is a zero of the denominator polynomial, so you need to use the technique of Example 4.2.5(d) p. 113. 2. (8 points) In the previous problem, can L'Hôpital's Rule be applied? If so, evaluate the limit using L'Hôpital's Rule; if not, indicate how the limit expression does not satisfy the conditions required for L'Hôpital's...
(b) Evaluate the following limits or explain why they do not exist: Hint: you do not have to give e, 6 type arguments; use the properties given in the notes. (i) (1P.) 3z2i lim 2-1 z 4z2 + z (ii) (2P.) Re(z) lim Im(2)
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL's RULE!!) 1 – cos(x). lim 20 x2 (b) (5 points) You CAN use DE L'HOPITAL's RULE!!) In(1+6x) lim 10 2
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL'S RULE!!) lim 1 - cos(x). 1-0 .22 (b) (5 points) You CAN use DE L'HOPITAL'S RULE!!) In(1 +6x) lim 2-0 C
3. Limits. The limits below do not exist. For each limit find two approach paths giving different limits Calculate the limits along each path. You may want to use Taylor series expansions to simplify the limits. sin (x) (1-cos (y) a) lim (y)(0,0 x+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 b) lim (y)(8,0) cosx + In(1+ PATH 1: LIMIT 1 PATH 2: LIMIT 2
3. Limits. The limits below do not exist. For each limit find two approach...
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