Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numerator and denominator, then cancel as many factors of n as possible. If the sequence does not converge, enter diverges in the final answer box. 2 + 8n + 7n2 lim n→0 6n2 – 5n + 7 lim 2

Q: Evaluate the limit.

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Q: x2 - 9x3 00 6x3 +4x

A: Given,         limx→∞x2-9x36x3+4x=?

Q: Evaluate the limit. Hint: factor expressions on the top and on the bottom and simplfy the fraction.…

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Q: Q: Evaluate :lim k k +2. k? +3. k? +.... +k. k?

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Q: Find the limit of the sequence as n approaches infinity: 8n4 7n +6 an =

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Q: n+1 2n +3 lim 2n +1

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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: (1++*+) ... 2 22 2k

A: Given below the detailed solution

Q: Find lim, 3 3 z-81 4 z-3 18 O81 O None 118

A: in first part we use the integration of xn=xn+1/(n+1).  2nd part related to limit. see 2nd and 3rd…

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: Evaluate: 3 ...+n.1 lim- n°

A: We have to evaluate the limit limn→∞1∑r=1nr+2∑r=1n−1r+3∑r=1n−2r+.....+n⋅1n4. We know that…

Q: Evaluate the limit. 2x5-128x2

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