Now simplify lim s(n) lim n → 0 25 n(n + 1)(2n + 1) to find the limit of s(n). n → ∞ lim s(n) = lim n → 0 n (n + 1)(2n + 1) n(n + 1)(2n + 1) 25 lim %3D 2 X + 3 X +n 25 lim = ,3 - ()X II

Q: Show that lim Z-2 (2-2)4 || ∞

A:

Q: 7x + 2 14. Evaluate lim a-00 V42 + 3 (a) 0 7 (b) 4 7 (d) Te)

A:

Q: fn(z) = ². Determine the pointwise limit lim fn for x > 0 n-x

A:

Q: an n→∞ An + 1 2 = 0. Show that lim an n→∞ (5) Suppose lim = 2.

A:

Q: Let F(x)= 2 (x-4)² - 2 x < 4 (x-4)3 - 2 4 <x 4)³ Then lim lim F(x)= x-4 519067440440 S

A: The objective of this question is to find the limit of the function F(x) as x approaches 4. The…

Q: Use numerical evidence to evaluate lim (5. (5. √x + 4) x18 f(x) X 1 100 10000 1000000 Type in oo for…

A: By using numerical evidence to evaluate the following limit. limx→∞5·x+4

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: Find the limits

A: Given- limt→68t-5t-7 To find- The value of the limit. Concept Used- The value of the limit can be…

Q: auiua X- 5 2x +

A: Given: limx→∞x-502x+3

Q: 18 -a+1 Find the limit lim a9 2x2+3x-1

A: Given, limx→918x2-x+12x2+3x-1   To evaluate limit

Q: 5. (a) Evaluate the following limits. i. lim [-2r* – a² – 82] I-00

A: Given that: a)  i . limx→-∞  - 2x4 - x2- 8x

Q: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.