Consider the sequence {(-1)^n / n}, the limit as n approaches infinity is: A. B. 1 C. -1 D. Does not E. xist 相关知识点: 试题来源: 解析 A。因为分子 (-1)^n 的绝对值为 1,分母 n 无限增大,所以整个分数趋近于 0。反馈 收藏 ...
If the sequence is {n/(n + 1)}, what is the limit as n approaches infinity? A. B. 1 C. 2 D. Infinity 相关知识点: 试题来源: 解析 B。当 n 趋近于无穷大时,n/(n + 1)可以化简为 1 - 1/(n + 1),1/(n + 1)趋近于 0,所以极限为 1。
Evaluate the Limit limit as n approaches infinity of (1+1/n)^n(lim)((1+1/n))^n)_(n→ ∞
百度试题 结果1 题目Evaluate limit as n approaches infinity of n root of n (lim)√[n]n)_(n→ ∞ ) 相关知识点: 试题来源: 解析 As ( n) approaches ( ∞ ) for radicals, the value goes to ( ∞ ). (∞ )
The limit of the sequence {1/n} as n approaches infinity is: A. B. 1 C. Infinity D. Undefined 相关知识点: 试题来源: 解析 A。本题考查数列极限的概念。当 n 趋近于无穷大时,1/n 趋近于 0。因为分子为常数 1,分母 n 无限增大,分数的值无限趋近于 0。
百度试题 结果1 题目The limit of the sequence {2^n / n!} as n approaches infinity is: A. B. 1 C. 2 D. Infinity 相关知识点: 试题来源: 解析 A。当 n 趋于无穷大时,n! 的增长速度远快于 2^n,所以该数列的极限为 0。反馈 收藏 ...
Evaluate the limit of the following: Limit of (11x^3 + 8x^2 - 5x)/((64x^9)^(1/3)) as x approaches infinity. Find the limit as n approaches infinity of (3^n + 5^n)^(1/n). Find the limit as n approaches infinity of (ln n)^2/n. Find the li...
=4⋅1−∞ Simplify4⋅1−∞:−∞ =−∞ Popular Examples Frequently Asked Questions (FAQ) What is the limit as x approaches-infinity of (4x^6)/(x^3-8) ? The limit as x approaches-infinity of (4x^6)/(x^3-8) is -infinity...
Evaluate the Limit limit as x approaches infinity of 1/x (lim)1/x)_(x→ ∞ ) 相关知识点: 试题来源: 解析 Since its numerator approaches a real number while its denominator is unbounded, the fraction( 1/x) approaches ( 0). ( 0)...
Evaluate limit as x approaches infinity of (arctan(x))/((1/x)-2)(lim)((arctan)(x))((1x)-2))_(x→ ∞ )Take the limit of each term.(lim)((arctan)(x)x)(1-2x))_(x→ ∞ )Reorder factors in (lim)((arctan)(x)x)(1-2x))_(x→ ∞ )....