Calculate the following limits, or explain why they diverge. 3n + 6ni lim n0 12+ 3i|n 2n² – 2 lim n-00 n2 – n +3

Q: Deduce that

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

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

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

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

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Find the limits

A: The given function is

Q: V(2x + 4) – V8 Evaluate lim x→2 x - 2 O None 1 V8

A:

Q: Find the limits

A:

Q: has

A:

Q: Evaluate the following limits. 1. lim X->3 2. lim 2 x-q x-3 X-3 X-3 √x-2-√4-X 3. lim (x³²-x²-x-2)…

A:

Q: .2 Find lim x+Vx +5x X→-00

A: To find:-

Q: y2. lim y²-4 y-4 y-2 ソー2 lim (x2 + 3x)

A: Limits Definition Let us consider a real-valued function “f” and the real number “a”, the limit is…

Q: 2x2-3x Find lim х-4 4x3-8х+13-

A:

Q: 2n = [4x – 8| lim n→0 n + 1 2 |4x – 8|

A:

Q: ax-1 ifx< -1 find the value of af im f(r) exists. 2x+a ifx 2-1

A: The given function is f(x)=ax-1if x&lt;-12x+aif x≥-1

Q: x- 1 lim Vx² +3 – 2

A: given limit

Q: 9x +1 lim O-ズ X-1

A:

Q: sinar lim,-1 r-1

A: Given limit is  limr→1sinπrr-1 Evaluate the limit. limr→1sinπrr-1=00 indeterminate form

Q: Find:

A: Apply the limits. limx→1x2+2x-3x-1=12+21-31-1=1+2-30=00   Applying the limits gives 00 form.

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

Q: 26 – 3x4 – 2 lim x4 – 3x + 1

A:

Q: Vx2 -25 b) lim x→-0o 6x-18

A: We have to find the limit

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: lim 4x45 X-D5 X+5

A: Given, limx→5 4x+5x+5

Q: Find the limit

A: Given, limx→∞2x+53x2+1

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.