2. Use analytical techniques to find each limit (SOME justification other than a technology-produced graph must be shown). a. lim X3 x+1 Vx-2 b. lim X3+ 3-x Vx-2-1 C. lim X-3

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

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Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

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Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: The value of the limit 2-x3 lim x2+3x3 is Select one: -1/3

A: The given expression is limx→∞2-x3x2+3x3

Q: 1. Evaluate the limit and justify each step by indicating the appropriate Limit Laws. Do NOT use…

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Q: 27 44. Find lim x3 x - 3

A: If given a limit limx→af(x)g(x) results in an indeterminate 00 form. Then the L'hospital's rule can…

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: a. Estimate the value of lim f(x).

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Q: Use l’Hospital’s rule where applicable to find each limit.

A: Given: limx→5 x2+11-6x2-25

Q: 2 lim -4x+3 + 9 x 2

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Q: 2 x-3+ 3-x 6. lim 4 9-1²

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Q: Evaluate the following limit using the Change of Variable technique: lim x-27 x-27 √√x-3)

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Q: Find the limit: √x-9 lim x 81 x 81 -

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Q: 1. Evaluate each limit: lim x+5 3x x² + 1 x-1 lim x1 x² + 2x - 3

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Q: 1. Evaluate each limit: lim x+5 3x x² +1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the limit: (a) lim 3x+9x2-4x+17 5x3-3x-14

A: