1 lim n4 n(n+1) 2 nー+ k=1

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

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

Q: 3 — х lim х—4- х2 — 2х - 8

A: we have to evaluate    limx→4-3-xx2-2x-8

Q: V5 n +9 lim . Show your work. 9 n+5 n- 00

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Q: 3.) lim r/2

A: To find the limit of the function

Q: x² – 4 - lim 3 x→-2 x + 8 O 2/3 О 13 О 13

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Q: れ ポ+n3 lim (nj)2 + n4 j=1 n-00

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Q: 3n -4n + 3 + i 10-3n - 2n° (n + 2) - 9 mit: lim 2 4 + 7n? 2-∞

A: To evaluate the limit: limn→∞3n2-4n+310-3n-2n2+i(n+2)2-94+7n2

Q: 2) lim (+5)a00 (-2a+1)50

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: X – 4 | lim х-4 х2 — х — 12 O 4/7 O undefined 1/7

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Q: lim V3n + 7"

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Q: sin(n!) lim n→00 n2 +7

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Q: N 3s2 – 4s – 4 lim V→∞ s=1 N³

A: Follow the procedure given below.

Q: 1 lim 1+ n 1 + 2 + n 1 +...+ n→∞ п +n, : =?

A: first, calculate the sum of the series then find the limit of the given problem as following:-

Q: Зи lim n- 2n² + 1

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Q: 6. lim (0.2)

A: As per bartleby guidelines we only give first question answers.

Q: х — 6 lim 2 X→ -0 x² + 5

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Q: n (n + 2\ 3. lim 2n

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Q: 10-n lim n→00 Vn²+ 10 + Vn²+ n

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Q: > 11. lim 2'/n² = 1 n00

A: Given: prove that limn→∞21n2=1 we know that when, n→∞, 1n2→0

Q: n |2n lim n→0 Vm²

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Q: 10. lim Ve+ 2-2

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Q: 1 lim 1+n 1 + 2+n 3+n 1 1 + + = ? n+n || +

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Q: n lim n (n+1) (n+ 2)² +. .+ is equal to - (2n – 1)

A: Given

Q: n+: n+5 15. lim tan- n-00

A: Given- limn→∞tan-1n+2n+5=π4 To prove- The above integral.

Q: 2х lim х2 — 9 ||

A: To evaluate: limx→02xx2-9 We know that if a is in the domain of f(x), then limx→af(x) = f(a)

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: n° 23 – 2n² + 4 - (c) lim -n4 + 4n3 + 5n2 – 2n + 5 n+00

A:

Q: n lim Σ 3 1+

A: Integration: n→∞lim∑i=1∞ 1+7in3 (7n)Here △x=7nci=a+i△x   =1+i7n   =1+7inTherefore f(x)=x3and here…

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

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Q: 9n+100 lim n+2

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

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Q: 3 lim 1 n+ 7 ,

A: Consider the given limit, limn→∞1-3n+7n apply the limit we get, limn→∞1-3n+7n=1-3∞+7∞=1-0∞=1∞ Use…

Q: lim (n22n) / n! = ?

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Q: Find the limits

A: Consider the given limit, limn→∞1n+1+1n+2+⋯+12n now write the limit in the summation form,…

Q: х3 - 5х + 2 lim 2х3 -7 А. О В. 1 С. D. 7 II

A: To evaluate limx→∞x3-5x+22x3-7

Q: -10 10 +1 lim z6 +1 10 4 5 3.

A:

Q: 10-n lim n-00 Vn2+ 10 + Vn²+n Q1// Find A) x = csc-1 (-) B)

A: According to bartleby guidelines we should have been able to solve only one question at a time. So i…

Q: 3. lim X→n/2

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Q: lim (n + 1 – Vn² n) n 00

A: Given query is to find indicated limit.

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

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Q: n: lim (k+2)2 is k=1 n3

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Q: 10-n lim n-00 Vn2+ 10 + Vn²+n /Find A)

A: Given that: limn→∞10-nn2+10+n2+n

Q: 1. lim 目 2+1 is 2.

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

A: We’ll answer the 3rd question since we answer only one question at a time. Please submit a new…

Q: n+3 E) Lim (- 3n

A: The value of limn→∞1-13nn+3 can be calculated as, limn→∞1-13nn+3=1-1∞∞…

Q: 5. lim(√n²+ n − n). -

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.