#2 1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3...
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 2x4 + 5x + 4x +7 lim X + 1 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 2x + 5x +4% +7 lim lim X + 1 Evaluate the limit. lim 2x + 5x + 4x + 7 X+ 1 -(Type an exact answer.)
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
do question 14 13. (-/6 Points] DETAILS LARCALC11 5.6.030. Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use coor-co, enter INFINITY or --INFINITY, respectively.) lim x06 - X 14. [-15 Points] DETAILS LARCALC115.6.036.MI. Evaluate the limit, using L'Hôpital's Rule if necessary. In x2 lim * -
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 14 In x - 14 lim X - e Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form lim 14 Inx-14 X-e = lim ( Evaluate the limit 14 Inx-14 lim =(Type an exact answer.)
Evaluate the limit, using L'Hôpital's Rule if necessary. x3 lim X-00 9eX/5 Step 1 +3 The limit to be evaluated is lim ** 9ex/5 By direct substitution we have the following. *3 lim x 9ex/5 Thus, the direct substitution results in --Select-- form. Submit Skip (you cannot come back)
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim X-70 8 sin 3x 7x 8 sin 3x lim X-0 7x (Type an exact answer.)
Evaluate the following limits using l'Hôpital's Rule 10. lim sinx-2 x 7x3 10. lime sinti? 11. lim (1-3)* 12. lime e2-1 + 2x 12. lim 24-+2x 0
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x+-2 x+2 Vx+2 What is the most efficient way for this limit to be evaluated? Select the correct choice below and, if necessary O A. Manipulate the given expression algebraically to rewrite the limit aslim x -2 O B. Take the natural logarithm of the expression and then l'Hôpital's Rule to rewrite the limit as X-2 O...
Use l'Hôpital's rule to find the limit. Use - or when appropriate. In (3 + 2x) lim X-1 X + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X-1 In (3 + 2x) lim O A. x + 1 (Type an exact answer in simplified form.) OB. The limit does not exist. Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 159 +54x;...
2. (a) Use L'Hôpital's rule to calculate him 2 cosh(2 – 1) – 22 + 2x 3 (x - 1)4 (b) Find the Taylor polynomial P4(2) of f(0) = cos(- 1) about x = 1. (C) Now use P4(2) to check your limit calculation from part (a).