sid problem: |-Int in 200 =lin %3D

Q: f(x) = lim f(x + h) – f(x). h-0 f(x) = 1

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Q: lim n→∞ (1 + 1/2 ) ² = 2n

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Q: Suppose we know that y x ER, h(x) ç f(x)Eglx) where Determine lim flxl. X -)0 h(x)= 31-4x2 and 9(x)…

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Q: Can you help me see how this problem is equal to ln3! Ty!

A: Given limit, limx→∞1x+41x ln3

Q: Q1/(A): At what points is the function f(x) continuous ? x1 (B): Find the following [Choose Five…

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Q: 2COS X-I Sin x, Yna1 = 2cosxy, – Yn-1+ n21 and 0<xs. (i) Use mathematical induction to prove that…

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Q: lim ln(7-x) x →7

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Q: lim (w,x,y,z)→(0,0,0,0) w²x+2yz² w² + x² + y² + z²

A: Given: lim(w, x, y, z)→(0, 0, 0, 0) w2x+2yz2w2+x2+y2+z2

Q: -1 1 -e CD What is lim f(1)-f(x) if f(x) = ex? | x-1 X-1

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Q: Evaluate , x? dx by limit definition. f(x) dx f(G.) Ax¡ lim i=1

A: Given integral  ∫01x2dx △x=b-an△x=1-0n=1n ci=a+i(△x)ci=0+i1nci= inf(ci)=in2

Q: l = lim x→0+ In(x)

A: No, its wrong. you are correct limx→∞ln(x)=-∞…

Q: 40 Find x² + 1 lim tan (x, y)→ (0,1) x²+ (y – 1)² ] |

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Q: f, there is a sequence (zn) in C - {1¹} such that : lim z, = 1, but f(zn) n n→∞ has no limit in C U…

A: Take sequence z(n) as Z(n) = 1 + {[(-1)^n)]/n}So that as n goes to infinity  Z(n) goes to 1 .

Q: If 0 < a < b, find 37 (br + a(1 – x)]' dz lim

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Q: QUESTION 9 x²y along the path y =3x2. Find lim (x.y)-(0,0) x+y?

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Q: lim(z – 1) csc TZ Is

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Q: Could you use L'Hopital's rule to solve the following question in its current form: lim,0+ In(x+1) O…

A: We have one of the following form limx→af(x)g(x)=00 or  limx→af(x)g(x)=±∞±∞  In these cases we have…