1 1 1 +- n-0n n+1 n+2 lim +....... 3n] equals

Q: 1+3+... + (2n + 1) Calculate lim n2 +n n00

A: The sum of the consecutive odd number is ∑n=0n2n+1=n2.

Q: A sequence (xn)∞ {n=1} is said to oscillate if lim inf xn < lim sup xn.  Prove or disprove the…

A: We can solve this question using definition of converges diverges and oscillating of sequences

Q: 3 converges conditionally because lim n - 3 = 0. 3n + 1 3n + 1 True False

A: The given question is solved with explanation below.

Q: lim ao lim a1 = 0, %3D n-00 n-00 -2p lim Bo lim Bi n-00 -2p lim yi = lim yo = n→00 lim 8o = lim 81…

A: Given,                                       en+12=∑γii=11en-i1+∑δii=11en-i1where…

Q: 22-4 The value of lim is x-2 x2+4 O 1 O -1/2 -1

A: Limit of the given function can be computed directly as the function doesnt have any discontinuity…

Q: 8n3-6n2 + 5n - 1 Find lim an. Let an %3D 5n + 17 n→00

A: By using limit property, we calculate the required limit.

Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: e – 2x – 1 Compute lim 4x O e- 3 4 1 4 4 undefined 3 4

A:

Q: 8. lim x - 4 + In (x – 4)

A:

Q: Find the limit of the infinite sequence. (2n–1)² n²+8 tn Enter dne if the limit does not exist. If…

A: Given that: tn=(2n-1)2n2+8

Q: 23

A:

Q: #3. Find the limit of the {√ 1 1+ 3n n 8 n=1

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Q: In(x – 7) lim →7 In(e@ – e7)

A:

Q: 7. Now using 4, 5, and 6, we have N < VN . 21(N). Get II(N) by itself on the right-hand side of this…

A: According to 4: N≤S(N).F(N) According to 5: S(N)≤N for every N≥1 According to 6: F(N)≤2∏(N) Solution…

Q: 10-n lim n→00 Vn²+ 10 + Vn²+ n

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Q: 1 Find lim x→∞ -e-x Select one: O 1 O +∞ O -1 8.

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Q: 33. Evalaute: lim n→∞ •n + 2 (n − 1) +

A:

Q: Find

A: Given that limx→∞ 5x2+8x-33x2+2. Compute the limit as follows.

Q: |4x – 12| lim Compute x→3- x – 3 -

A:

Q: Evaluate the limit of the sequence or state that it does not exist. an = ((3n2 + 2n + 1)sin n)/(4n3…

A:

Q: Determining limits analytically Determine the following limitsor state that they do not exist.

A: To Determine: find the limits  Given: we have                     a)…

Q: 2n²+3n 2 3) Prove (with an e - N proof): lim n-0o 3n2+8n+2 3

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Q: 2 - 121 1) Give an e- proof of lim =22 x-11

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Q: 2 ( - 12/² + 1) In X 11) lim

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Q: S 1. lim 2 I- I - 2 1.9 1.99 1.990 2,001201 | 21. 12 2, lim 19 1.99 1.999 201 1211

A: Please see the explanation below

Q: Find -x-1 lim 1-0 I² O does not exist O-1/2 O 0 O 1 O 1/2 O Other:

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Q: 10 -2 lim f(x) : x→-4+ -2 -3 10 4. in4 in

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Q: 9+5n 4+ 5n Calculate lim 7+ 5n n00

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Q: 1-e¬* lim x→0+ 2x2 -00 00 None of these O 1

A: We need to evaluate limx→0+1-e-x2x2 = 1-e-02(0)2 = 1-10= 00 Hence we will use L Hopital's rule It…

Q: x?e*-In(1+x)-1 lim x-0 xCos x

A:

Q: 1-e-* lim x→0+ 2x2 -00 00 O None of these 1 || O O O

A:

Q: n³ – 2n2 + 4 (c) lim -n4 + 4n3 + 5n2 – 2n + 5 n-00

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 10-n lim n-00 Vn+ 10 + Vn2+n A)

A:

Q: 1-e* lim *0+ 2x2 -00 00 O None of these 1 O O O O

A: The given expression is limx→0+1-e-x2x2.

Q: 17. lim n00 10n + 12 10 +0

A: Given- limn→∞n10n+12=110 To prove- The above statement.

Q: -1 lim,→-1 f(x) = O -1 O 2 -2 O Does not exist

A:

Q: 22) lim (In x)4/x X-00

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Q: e" (1-e*) (1+x)[In(1– x)] 12. lim, 0

A: Introduction: In mathematics, limits are the factors at which a feature tactics the output for the…

Q: lim (2n + 1)´ 2 n→ 00 п +1

A:

Q: 4n+1 4 n+3 (c) lim n+3 (е) lim 0 = ,? -13

A:

Q: 13 12 + x – In(1 + x) - lim 3 2 X→0

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Q: х3+27 2. lim x→-o x7-128 х*+81 3. lim x→-o x3-27 х5 +125 4. lim x→+o x²-81

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Q: 1. lim 目 2+1 is 2.

A:

Q: Calculate the following limits using the factorization formula

A:

Q: 5. Given: lim(2x – 5) = 1 X-3 Find 8 such that |(2x – 5) – 1| < 0.04 whenever 0 < |x – 3| < 8

A:

Q: Question 3 5" + 4" 2021- 5" lim n 00 T

A: we have to find the limit of the given expression

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

A: Given query is to apply ratio test.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.