an+1 an ? n00 ant+1 1. In the Ratio Test, is p equal to lim or lim n00 an

Q: sinnr Q1: lim,1 r-1

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

Q: Dividing numerator and denominator by n², we have 6 + 15m² lim n- n + 12n² = lim 6 + 15m² n² n+ 12n²…

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Q: 13 - lim [x²] =? x→7+ O A) 49 B) there is no С) 50 D) none E) 48

A: The given function is x2 We have to find the limit of this function as x tends to 7+

Q: lim [x²] =? x→7+

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Q: Find a number bER such that lim x²2x-3 C. %3D Solve the above question for cS

A: Given limx→bx2-2x-3x2-1=CTo Evaluate value of b  when C=5

Q: 6. Find lim Vn? +n–1 -). 2

A: n2+n - n = n2+n -n × n2+n +nn2+n +n = n2+n2-n2n2+n +n =n2+n-n2n2+n +n = nn2+n +n

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

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Q: lim x?-x-e X7-2 2. メール 2-2

A: limx→-2x2-x-4x2-2

Q: Lim (x?-zx+3) メーフト 2こ

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Q: x? – 4x Find Lim x-00 3x3 + 6x A. 0 В. О 2 С. D. 3 8 olo

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Q: atua 8r? - Зх + 4 lim I 00 2x2 + 7x

A: We are asked to find the limit

Q: proper justification. If it does not e 4x2 – 4x + 1 a. lim x→1/2 2x2 + 3x -2

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

Q: Q4. Evaluate k=n 2k + n Lim k2 + kn + 2n² k=1 n-00 Show the details of your answer.

A: The objective is to evaluate the above expression.

Q: Q: Evaluate :lim k k +2. k? +3. k? +.... +k. k?

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Q: x +y - 10 Evaluate, lim (r.y)(4,6) x2 + y? + 2xy-100

A: Solution : We have given  a limit lim(x,y)→(4,6) x + y - 10x2 + y2 + 2xy - 100 And we have to…

Q: х6 — 64 ? x + 2 What is lim x-2 A. 192 В.- 192 D. 52 E. no limit C.

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Q: nta n+b )"구Twhere a, 1 where a, beR lim n+00

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Q: Q. The value of Lim n 00 (x – 1)"eª dµ.equals [1,2] a. e - e? b. О - e? а. е c.e d. e? e. None of…

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Q: x- 2 Find Lim x-2 3x2 -12' A. B. 12 1 C. 12 D. 00

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Q: Q. The limit k=n n +1 Lim 2n? + 3nk k=1 equals a. In(5/2) b.0 c.In(5/2) d.3 In(5/2) a O b

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Q: Q. The value of Lim (x – 1)"e dµ.equals [1,2] а. е — е? b. О e - e? c.e d. e? e. None of these.

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Q: Your answer is Blank 1. Blank 1 Add your answer Suppose an = 5. What is the value of lim a,,? +00…

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Q: x*-a* c. If lim Xa x-a (108 * T), find the value of "a".

A: In this question we have to find the value of a which we can find out by solving the limit and…

Q: Lim x-[xs メ→? 2X2 2x?_8

A: To find the limit

Q: e3x – 8 lim n- r-In2" e2x - 4

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Q: Find lim x→0 x² + 4 2e* + 1 The astrict respresents an x. Just…

A: We will find out the required limit.

Q: a. [=³² (n =)²] 15. lim z→0+

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Q: If lim n2 +3n -n = L, then L = Select one: a. 0 b. 3 C. d. 1. e. None of the choices 1/2

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Q: Q. The value of Lim | (x – 1)"e"dµ.equals - [1,2] а. е — е2 b. 0 e – e? c.e d. e? e. None of these.

A: Here we use series expansion.

Q: √√f(x) x→ 3.h(x) 20. What is the value of lim A. C. - 12/2 6 B. -1 D. 21/2 5 I N|2 13 -?

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Q: ху lim (x,y)→(0,0) Vx²2+y2 Get the value of

A: This is the problem based on multivariate calculus. To find the limit , we can convert given…

Q: lim (メ+3)? メ→。 (xリメー12)

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Q: x? – 4 Find Lim x-2 3x + 6

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

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

Q: 32. lim r-2-2 + 3 A 1 B -1 D -4

A:

Q: lim (r -2)11/(3-z)

A: Firstly, we take log on both sides and use the result that  log m^n=nlogm.

Q: lim f(z) Select the correct answer below: 2.5 7 6.

A: The given graph is,

Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit.

Q: 3 -4x°+6x Evaluate lim, B-a? 4 2 8.

A: Explanation of the answer is as follows

Q: lim Va? + 8 +1- r .2 I00

A: Given- limx→∞x2+8x+1-x To find- The value of the limit Concept Used- the above expression can be…

Q: 2x5 – 2x3 Find Lim x-o 7x5 + 5x² А. В. О - - С. D. 217 25 Olo

A: Option (D) is correct.

Q: lim (n22n) / n! = ?

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Q: lim x? O1 -25 25 -1 ||

A: The detailed solution is given below Thank you

Q: 3. Simplity, and then evaluate using the Direct Substitution Property: lim 4. Let 3r + 5 if r # 4 if…

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Q: 6x + 2x+1 lim is equal to бх? - Зх + 4 А. О В. 1 C. 2 D. 3

A: This question is related to limits, we will solve it using given information.

Q: lim z-1 -1 -1 m, n > 1 is Select one: a.-m b. -n C. d.

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Q: Your answer is Blank 1. Blank 1 Add your answer Suppose an = 5. What is the value of lim a,,? n-0

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Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h

Q: x* – 2x3 Find Lim x-0 x5 + 5x2* A. 00 В. C. D. 0 4, B. olo

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Q: p1x2 Suppose p and q are polynomials. If lim xS0 q1x2 10 and q102 = 2, find p102.

A: Solution: Consider the two polynomials p(x) and q(x) and the given condition limx→0p(x)q(x) = 10…