Find the following limit. lim X--∞ lim X1-8 X +5x 2 1-X 1-X x² x3 + 5x 7 (Simplify your answer.)

Q: Find each limit, if it exists. 5- 2x (a) lim x0 5x3 - 8 5 - 2x lim (b) X- 0 5x - 8 5 - 2x2 lim (c)…

A:

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Find the limit by substitution. lim 7x(10x- 2) X-3 lim 7x(10x-2)= (Simplify your answer.) %3D X-3

A: The given expression of the limit is: limx→-37x(10x-2)

Q: Find the limit. lim (V-5x + 19 + 7) X-2

A:

Q: Find the limit. -4x lim X+6 X-6* - 4x %23 lim X-6 X+6

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

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Q: Evaluate this limit. lim x-4 2x² 12x + 16 x²-x-12

A: let C=limx→42x2-12x+16x2-x-12

Q: Find the limit. lim 1- x-0

A:

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: lim x → 00 x² - 2x + 3 X +8

A: L=limx→∞x2−2x+3x+8

Q: Find the limit. lim X+3 X-3- O -1 -00

A: Find the limit

Q: Find each limit, if it exists. 8x 4. (a) lim 3. 3. 4 8x (b) lim X-*4xY 4 - 8x² (c) lim 4x 3 %3D %3D

A: We have to solve the limit problem

Q: -4e2x – 5e-2x Evaluate lim algebraically. If the limit does not exist because the function has…

A: Limit of the function

Q: Estimate the limit numerically. x+14x + 49 lim x+7

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Q: find the limit or explain why it does not exist. x? + x lim + + 2x4 + x³ a. as x→0 b. as x→ -1

A:

Q: Find each limit, if It exists. 3 - 9х (a) lim x-* 3x3 - 5 3 - 9x (b) lim X- 0 3x - 5 3 - 9x2 lim x-0…

A: Topic- limit

Q: Evaluate the limit. x4 - 7x3 + 1 lim x→-00 4 – 4x² – 9x4

A:

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)…