Determine if the following limits have an indeterminant form, state it, and use L'Hopital's rule to...
5. Determine if the functions below are indeterminant forms and if so, what indeterminant form are they. Indicate if L'Hopital's Rule applies. In(2) (a) lim +0 cos(2) - 1 (i) (2 pt) Is this an indeterminant form? Circle one: Yes No (ii) (1 pt) If yes, what is the form? If no, write NA. (iii) (1 pt) Does L'Hopital's Rule apply in finding this limit? Circle one: Yes No (b) lim + 2.c? + 72 - (i) (2 pt) Is...
solve d-f Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0 tan 3.0 2.2 1 (b) limu+0+ In(X) (c) limx→ In(x + 3) – In(3x + 2) (d) limz+ x sin(5) (e) lim.+ 22-45 4" +3: (f) limo (#2) (g) lim + (e+ + a)*
1. Find the following limits (You are not allowed to use L'Hopital's Rule) : x2 + 3x – 108 din 22 – 81 –0 32
1. Evaluate (by SHOWING YOUR WORK! You CANNOT use DE L'HOPITAL's RULE!!) the following limits. If the limit does not exist, write "does not exists”: (a) (5 points) x2 - 32 lim ++ 2x2 - 1' (b) (5 points) - 3 lim 169 - 9
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
1. Evaluate (by SHOWING YOUR WORK! You CANNOT use DE L'HOPITAL's RULE!!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) 2 - 31 lim 1++ 2.12 (b) (5 points) Vr-3 lim +91-9
6. Use l'Hopital's rule to evaluate the following limits 1+cos (Te sin(z) (a) lim z-+0 log (-1) (b) lim 92I-2 cos(TI) (c) lim r sin Page 2 of 2 0 words
Question 23 Find the following limit using L'Hopital's rule. e3x - 3x +2 lim- x0 sin²x 00 4.5 o Does Not Exist 1.5 → A Moving to another question will save this response.
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
4. Find the following limits. 473 + 5x² - 2x+2) 273 - 2x + 100 203 - +3 (b) limz+03,3 - 2x2 – 3x + 2 (a) limz+ f (x +h)-f(x) 5. Find the derivative using the definition /' () = lim-0- (a) f(x) = 22 - 2 (b) f(x) = 2x + 3 6. Find the derivative using the formula including product rule and quotient rule (Don't use the definition in # 5) 3.- 2 (a) f(x) = 33...