Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits. (Please do not use any theorem not discussed in class!) Indicate clearly what results you are using. The right answer without a justifiable reason will be given zero credit. i. limn→∞   n2 - 4                   ---------                 2n3 - 3n + 1. ii. limn→∞    √2n3 - 1n                    -----------------                      2n - 3   . iii. limn→∞   6n2 - 2n4                    ----------------------                  12n3 + 2n2 - 17n.

Q: evaluate the limit.

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Q: Determine the following limits or state that they do not exist.

A: x3-5x2+6xx4-4x2

Q: Find the limits

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

Q: 7. Let a be a nonzero real number. Evaluate lim o f (x) and lim,→ f(x), where -00 f (x) = a.x° – 3x*…

A: Given problem is :

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Q: 2x+5 10. lim +2 3x-2

A: Using theorems of limit's.

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Evaluate the limit.

A: Given, limx→∞x3+20x10x-2

Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

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Q: Q5:-Evaluate the following limits 3x-3x2+5x-9 1. lim, Tx 43x3

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Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: verify whether the limit to infinity of n(n + 1)(? + 2)−1(? + 3)−1is equal to one.

A: