2. Detremine if the limit is in indeterminate form. If so, state which indeterminate form it has. DO NO ATTEMPT TO EVALUATE THE LIMIT. 1 xxx² (a) lim x² - 1 x-1 X- 1 (b) lim 4 - X xxx² + 1 (c) lim (d) lim e-x - [∞←x x² (e) lim (sin x) x40 (f) lim [Inx-In (x - 1)] x48

Q: lim_f(x) x→-8

A: Limit

Q: 5. lim (x²-5x+17) x+3 6. lim- 7. lim rẻ -5x x-0 √√x+4

A: Limit

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

A:

Q: State whether L'Hôpital's Rule applies or not. x² - 25 lim x-5 54x - x² Does L'Hôpital's Rule apply?…

A: We have to check weather the L'Hospital rule is applicable or not after that we have to calculate…

Q: Find the one-sided limit (if it exists).

A: We first factor the denominator

Q: Find the following limit. lim (-x² +9x-1) X-6

A:

Q: Find the limit

A: Given limit expression islim△x→0x+△x3-x3△x.

Q: 3. Evaluate each limit. If applicable, state why the limit does a. lim. x2+5x+10 X48 x-1 h lim…

A: A limit is called Do Not Exist if left hand limit and right hand limit are not equal.

Q: Evaluate the limit (3+7x) lim x48 4+6x² Use oo if the limit is ∞ and -oo if the limit is -∞. =

A:

Q: Find the limits

A: Given: limx→1x-1-1x-1 for finding this limit we simplify given thing and find limit

Q: Find the limit.

A: Substitute x=-2 in the function x2+x+14 and simplify. limx→-2x2+x+14=-22+-2+14

Q: Determine the right- and left-sided limits of the following function: lim x-3- (x + 1) lim x-3+x - 3

A:

Q: For each limit, use direct substitution. Then identify the form of the limit as either indeterminate…

A:

Q: 23. lim X-00 x2 - 1 – 1

A:

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

A:

Q: 4 1 lim ( x² - 4 x -2' X-2

A: We have to find the limit: limx→24x2-4-1x-2 Here it is ∞-∞ form factorizing x2-4=x2-22 using…