lim n→∞ n i=1 8 ( 2 + -+-) ² / / 1 n n

Q: In sigma notation, what is L10 if f(x) = √4x² on [-2, 2]? 10 Α) Σ 1/4 - (-2 + 2)2 (2/5) Β) Στo V4 -…

A: To find L10 use sigma notation for the function  calculating the lower sum of a Riemann sum with 10…

Q: х — 3 lim Nx- 3 x→3

A: the given limit is: limx→3x-3x-3 we have to find the value of the given limit.

Q: y² + y²e6)° x' 2 + 2x²eG)* , 2xye 2xye 6)*

A:

Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

A:

Q: lim x 5x + 6 | Evaluate x → 3 X - 9

A:

Q: lim x→∞ 2x/ √ x2 + x

A: Given,          limx→∞2xx2+x

Q: If g(t) = £? (e-35-*), a farmula for L (e* g14) is? -8t +8 a) ede+25 b) e 3e+17

A: Given g(t)=ℒ-1e-3s-7

Q: x² – 10x – 25 lim x-5 x2 – 4x – 5 -

A:

Q: 5n Find lim nxx 7n+1

A: L=limn→∞5n7n+1

Q: 2х+5 lim 3x а. 2 b. 0 С. 1 3 d. 2 3

A:

Q: For &) r 0x xi روا show that ܕܕܥ in the region where #0

A: Given that .We need to show that (a) , and (b)  in the region, where  in .We know that .

Q: 21 _) P') pludx= чи (и+1) сеn+ л 2 и+31 и+1

A:

Q: lim z+0 z2 - 2sinz + 2x O 1 O 12 O 0 O 20

A: Let L is the limit value of given function .

Q: 16 2){-1 ls(s² + 4)²,

A:

Q: Evaluate lim 810 (-1) n and lim n sin n

A:

Q: х — 6 lim 2 X→ -0 x² + 5

A:

Q: By the Fundamental Theorem of Calculus, Part 1 4 ["* vi(2+1)dt = ["^(2√²+11) de dt 4 - = ( 5 -t² +…

A:

Q: 8+x-4x? Lim\ belowr → 0∞ V6+x²+7x* O a. -4/7 O b. 4/7 O c. 4//7 O d. -4/7

A:

Q: Lim X→-2 x느3x+6

A: The limit of a function at a point is the value the function tends to as we approach the point. For…

Q: lim 1+ 3n

A: We have to find  limn→∞1+13nn.

Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2…

A:

Q: how to show the following coefficient is less than 1

A: Given information: An expression involving gamma function is given.

Q: 9х + 6 lim 5x

A:

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: Select one:

A: Given, limx→∞x3-5x+43x4-3

Q: T (k+m+1) k! I' (m-k+1) \x+1, P² (x) = m k/2 X ₂F₁ 2F₁ ( -m, m+1; k+1; +¹; 1 - - - 2 ) 2

A:

Q: 2x2 + 1 lim 3x2 – 5x + 7

A:

Q: Find the first 3 iterates using x² = x + y² y(o)= o` Successive Approximatio

A:

Q: 1 lim 1 +...+ 22 1 2n +

A:

Q: 13x? - 7x - lim I» 00 6x3 O -13 -0-

A:

Q: „¸ 1) and ♂ = (1, 1, 2). Find || ☎ – proj♂¯||. d) 2√3 3 (e) None of these

A:

Q: x' +3x +3x+1 Find lim x1 2x +3x² – 1

A:

Q: lim an - an 1 2 C + Sn *

A:

Q: Identity 161 For n 2 0, Er2o (4) ()2"-2* = (").

A:

Q: lim Z-0 /52 +196 – 14 I

A:

Q: Q17) C-1 (A) (D) 1 {8² +38 35} = [1+ et] (B) [1-³] [1+e³t] (E) [1-e-³t] (C) [1-e-st]

A: The given term is,Now using partial fraction ,we have

Q: d (8*2*² Evaluate dx 2* 22x+2 In 2 (x² + 2x)2x²+2x-1 In 2 (x² + 2x)2*²+2x-;

A: Differentiate wrt x

Q: lim Væ+2-/2

A: