Give the following infinite sum and limit: 8 2n-1 3n+2¹ n=4 a) rsin r (b) lim 20 x² + e²-1

Q: Vx+5-3 b) lim x→4 х-4

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Q: 42t lim t+0 4 - 1 - 1

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Q: Find the limit lim (8x² – 53x4) (822 – 53x)= Click for List

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Q: Deduce that

A: To prove that                limn→∞nn2n!=0

Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: mx + 1 1 Find m if lim x +2 x² + 1 O 3 O 2 O 1

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Q: lim (412 + 8t – 5)3/2 t- 2.

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Q: (4-x2) 3-1x2+5 tim

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Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

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Q: Vx2 + x lim x→o X + 1

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Q: 23. lim 3x-2 2+ 3

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Q: Lim a 2.

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Q: 7x2 – 9 lim X-00 4.x +3

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Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: Find limt →0 1 t+2 2 t

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Q: lim n2 + 1 n2 + n2 n2 + 4

A: The given limit is: limn→∞nn2+1+nn2+4+...+nn2+n2 so, it can be written as: limn→∞ ∑r=1nnn2+r2

Q: 4x2 - lim 3x +2 1 - 2

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Q: 3n + 2 Calculate lim V7n? +1 n00

A: The solution is 37

Q: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

Q: O Lim x+4 2. ズラー1 O Lim VE -1 x-1 O Lim X-

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Q: 20x2 – 3x Calculate lim x→0 ° 3x5 – 4x2 +5

A: It is given that, limx→∞20x2-3x3x5-4x2+5.

Q: Find lim 1 2/3 X 2 (x-4)2/3 as

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Q: Evaluate lim v9x² – 5x + 3x x - 00

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Q: -10 10 +1 lim z6 +1 10 4 5 3.

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Q: 4x-x2 lim- x4X- 12 O 16 O 13 O 11 O

A: From the given problem:u   limx→44x-x2x-x   So,   limx→44x-x2x-x=4· 4-424-4=16-164-2=02=0

Q: 1 4 lim X + 2* х-2 In(2x-3)

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