Use l'Hospital's Rule to find the exact value of the limit. 9 \X ( 1 + 2)* lim

Q: Evaluate the limit and the function.

A: Here we take N tends to infinity for finding the limit function

Q: lim2

A: Explained below

Q: sin ( T cos? x lim- TT COS X X' 2.

A:

Q: sin(r – 3) lim I3 r2 + 2r – 15

A:

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Find the limit lim-0+ xlnx10

A:

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not erist, indicate that…

A: Let's find.

Q: If limx--3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx-3[36x2 + f(x)- 3x]. O a. 11 O…

A: The given limit limx→-3x3+fx=-29. We have to find the limit of limx→-336x-2+fx-3x.

Q: 47) lim √√3x-2 x-1 48) lim X->>0 x3 + 12x² - 5x 5x

A: To find the limit of a function f(x) when x approaches k, substitute x= k in f(x)

Q: Q6) Find the value of lim X-0

A:

Q: Find each limit, if it exists. - 3x? + 5 67. lim 66. lim 2 - x x + 8 -6x + 7x 68. lim 69. lim "- 2x2…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 6. Evaluate the limit. 1 (7/727 n² (a) lim n² sin n18 sin (0)

A:

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: Investigate lim x 2 . x ➔4

A: