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solve d-f Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0...
3. Find the limits, using L'Hospital's Rule where appropriate. (a) lim 1 - cos (7) 10 (b) lim In (3x + 8) 1+ In (6x + 5) + 10
Determine if the following limits have an indeterminant form, state it, and use L'Hopital's rule to compute the limit if possible. (a) limz-x++3x2–1 1 -3 (d) lim240 32° +sin(e"), (b) lime- 2 sin(3x) (e) lime-o(1 – x) tan(7), x2 – In(2/x) (f) limo+(1+2).. X-2 5.0 (c) lime+o022 –52
(4) Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim-0 21+ucos g -3 sin e 136.23-1 (b) lim 0 sin(6x)(e-1-1)
Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim, 0 2x+cos 2-3 sino 1+36x3-1 (b) lim;-+0 sin(60)(et-1-2)
10. Use L'Hospital's Rule to find (a) lim,- (b) limz+0+ x2x (c) limz- x ln(1 + 1)
PLEASE SHOW ALL WORK Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. x+x2 lim - 3x2 X-002 -
Use l'Hospital's Rule to find the exact value of the limit. 6* - 5* lim X-0 3x - 2x
(1 point) Find the limit. Use l'Hospital's Rule where appropriate. 6(ln x)2 lim x00 Limit:
7. Find the limit. Use L'Hospital's rule if appropriate: > e* + 100x lim x= 3x3 - X
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 (1+10x - 1-2x ) divided by x