1. Determine the following limits, algebraically where possible. x 2020 + sin(x) c) lim 1.001"
1. Compute the following limits algebraically, if possible: 4.2 +1-3 (a) lim 5.2 – 1 (b) lim 2 - 2 100 3.42 - 2.c 2 (c) lim csc(7x) sin(4x) (d) lim lim (1+3) 20 22 (e) lim +01 – COS X
1. Suppose that lim x) = A, lim f(x) = B, 0) = C, where A, B, C are distinct real numbers. In each of the following, fill in the corresponding box by: • Expressing the limit in terms of A, B, C if it is possible to do so using the given information; • Writing DNE if it is possible to conclude that the limit does not exist using the given information; • Putting a X. otherwise. No explanation...
(3) 6 +0 (a) Determine the following limits (if they exist) (1) lim sin 0+tan 36 0 1- (u) lim 1-1 1-3 5 + 3t (11) lim 143 (+3+ 2t2 - 3 (3) (3) (1v) lim 2-2+ (3) -at - bt + ab (v) lam +62 + 2abt - 4202), a, b are real numbers
MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2 r csc 2x x--o cos 5x 27. lim x + xcos r 29. lim MTH 1203 eference: Calculus Textbook, 5th edition, Smith,Minton,Rafhi Prepared by Tamar Krikorian; Using lim Sin e Find the following limits: 21. lim sin V20 . sin 3y 23. lim 25. lim lan 2...
Section 2.6 Homework (continued) D. Determine the end behavior of the following function. (Do this algebraically.) $ 16x8 – 12x2 f(x) = 1- 7x² + 5x 70 + 2X-8 C. Find the limit or show that it does not exist. (a.) lim n sin²x " (Hint: Use squeeze theorem) X x²+1 (b.) lim cot?(-Inx) (Do this analytically.) X-> Section 2.6 Homework (continued) E. Find the following limits if they exist. Explain. (Do this analytically (a.) lim cot' (In 10 -...
Q3. Find the following limits: x1 x+1 (b) lim (c) lim X-3 X-2
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c) 4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
1. Determine if the following limits exist. In each case prove and explain your argument. (c) lim x +y + y sin x siny *(0,0) XY lim x-(0,0) x4 + y2 lim x+(0,0) x2y2 + (x + y2)2
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)