1. Compute the following limits algebraically, if possible: 4.2 +1-3 (a) lim 5.2 – 1 (b)...
1. Determine the following limits, algebraically where possible. x 2020 + sin(x) c) lim 1.001"
-0. (incorrect) 8. (1 point) Compute the following limits using l'Hôpital's rule if appropriate. Use INF to denote oo and MINF to denote 1 - cos(8x) lim x+01 – cos(7x) 8x – 7* – 1 lim x² - 1 Answer(s) submitted: toy (incorrect) 9. (1 point) Compute the following limit using l’Hôpital's rule if appropriate. Use INF to denote oo and MINF to denote -0. lim 7 sin(x) ln(x) = x ot Answer(s) submitted:
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...
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)
i need help with #6, #15, and # 17. please and thank you! 1 lim 8 lim- 22 2 lim Problems for $1.3 For problems 1 through 14: By replacing functions with a few terms of their asymptotic series, find the following limits. et - 26 +1 tan(x) – sin(x) cosh(x) 20 cos(2) - 11 - 22 9 lim sin(x) sin (x) – 2,2 1-0 24 *+0 tan(x) tan-(x) - 22 3 lim x2 + x -2 10 lim x1...
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 -...
find the limits analytically, show all steps x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h c) lim 3(2-2) cos(3) 22 +62 +9 h0 100
Question 1. Calculate the following limits, justifying your answers carefully. 20 (a) lim 1+-2.13 + 5 32" - 5.6 + 6 (b) lim 1+-2.7" + 3.23 - 4.0 2.1 (c) lim 2+1 3.73 +3.02 - 2 sin(4.c) (d) lim 2+00.C +3) (Hints: for (b) and (c), denominators factorise; for part (d), you may use lim-0 sin x/x = 1.) [2 + 3 + 3 + 3 = 11 marks]
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3 (f) lim(cos x)In | = 1 エ→0 1+ tanz1/sin z 1+ tanh r (b) lim = 1 -+0 nT nT (g) lim cos no0 +sin 6n+1 (c) lim (sin r)1/(2r-) - 1 エ→/2 = e 3n+1 2 + sin r 1 (h) lim 0. (d) lim エー→0 1 In (1 - V-1) - . 2 In(cos x) r+1+ 40 Show the following results. 1-e2...