tan z lim is Select one: a. e b. 0 с. 1 d. -1

Q: Let A E Ma(R), where d E N. Find A lim ( Id + n

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Q: is continuos if lim f(z) =f(z,) ylgn O ihi O

A: Continuity: A function f(z) is said to be continuous if all the three of the following statements…

Q: Evaluate the indicated limits 3y8 – 5y? + 7 (i) lim y+00 8 + 2y – 5y8 lim y00

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Q: Find the value of lim f(z), if ƒ(±) = T-7+ 8z +4 7 O 16 O 9 6. O 21 O 35 O 49

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Q: Evaluate the following limits. If needed, enter INF for o and MINF for 0. (a) lim (Væ? – – a 7x + 1…

A: (a)

Q: 4! find lim, B4,-2) S x approachesto I from postve direction.

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Q: Calculate lim r(t), where r(t) = (r², 1 – 1,171).

A: rt=t2, 1-t, t-1

Q: tan z lim Is Select one: a. 1 b. e C.-1 d. 0

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Q: Evaluate the following limits. If needed, enter oo for o and oo for - 0o. V4 + 11x? (a) lim %3D 3+…

A: limx→∞ 4+11x23+10xdividing N and D by xlimx→∞ 4+11x23+10x=limx→∞ 4x2+113x+10limx→∞…

Q: Which of the following expres zy 0 = .lim(z,9)¬(0,0) F+ y²

A: Let us substitute: y = mx Then we get, Limit as (x, y) tends to (0, 0), [(xy)/(x2 + y2)] = Limit as…

Q: Find the limit.

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Q: Among the solutions of the 3rd order linear ODE y" – y" + y' – y = 8et, only one function satisfies…

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Q: Show that lim (z,y)→(0,0) 4 z - Va² + y? V16 – x² – y? – 2²

A: Show thatlimx,y→0,0z-x2+y24-16-x2-y2-z2=0

Q: Let f(r, y) = , then Lim-r00(x, y) = %3D A) 4 B) 1 C) Does not exist D) 8 E) 16

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Q: La) Find lim sup„→∞ sin n. Justify your answer.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: For B = – lim r² -1 6 sin z which one is B?

A: In this question we have the limit for B.

Q: Show: ( (|fl2 – €)² < lim sup E If (n) < (I|fl2 + e)² , Where ƒ E C(R | Z; , c) n=-N

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Q: O Find lim (X,Y)→ LD,0) **+3y* or show it DNE.

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Q: ,3 Find lim (x,y)→(0,0) x² + y² °

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Q: Show that the following: If r > 1, then lim Vr – 1 = 0.

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Q: Given lim (0,y)→(0,0) x4 + y? 1 and lim (2,22)→(0,0) x4 + y? 2 does lim (2,y)→(0,0) z1+y? exist?…

A: We have to find whether lim ( x, y ) tends to ( 0, 0 ) x2y / ( x4 + y2 ) exist or not .

Q: Show that lim (2,v)>(0,0) **+y D0.

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Q: Find the limnt @ lim Let-i)? t sint 2.

A: We have to find the limit of the expression…

Q: O Find lim show it DNE. or X2 -y2

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Q: If A = lim ("C " C " C_ " C ……." C )m(a+1) then A² is equal to

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Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

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Q: t t→0 et (c) lim = 1 True False

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Q: Which of the following 1. lim(z,v) (0,0) 7+

A: Let us consider, y = mx Then we get, Limit (x, y) tends to (0, 0), [(3x2y)/(x2 + y2)] = 0 Thus the…

Q: Show that for any e > 0 and S, 1X₁, lim P(|S₁-81 ≥ 2) = 0. y'a 3140

A: We will use Chebychev's inequality to find the required limit of probability.

Q: Evaluate the limit. sin? 3t lim t-0 O DNE O 0/0 O 3 9,

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Q: Show that when T(z) = az+b cz+d where (ad - bc ‡ 0), find lim T(z) = ∞ if c = 0. 7-3

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Q: Find the value of lim f(z), if f(x) = 8x +3 z 7 %3D O 50 O 61 O 11 O 18 O 29

A: Limit of the function

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3s 4, s 8 -

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Q: al Find lim txy (,0) f Excts Find lim 4xy (0)

A: a We have to find the limx,y→0,04xy2x2+y2 if exist. Take any path y=mx Then…

Q: 2. The value of lim is (z.v)-(0,0) Vr² + y? (b) 1 a) 0 (c) 2 (d) does not exist

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Q: Calculate the following limits (a) limn→o ΣL1 (주5 유 + 옮) i ;=1 n5 n2 (b) limn-> (Vi + V+ V++ ) 2

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Q: V1+3x-1 lim Answer: 1 %3D

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Q: f(z) is continuos if lim f(z) =f(z,) 0 صواب ihi O

A: Given a statement

Q: | ind the limit: lim,1+ i[(z – 1 – i)/(z² - 2z+2)

A: Find the Limit: limz→1+iz-1-iz2-2z+2 Solution:- limz→1+iz-1-iz2-2z+2=limz→1+iz-1-iz-1-iz-1+i…

Q: Find the following limit: 11a +31a 6. lim エ>0 6. Answer:

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Q: Find the values of the constants a and b such that

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Q: 1. Complete the following tables of values to investigate lim,-1(x2 – 2x + 4) f(x) X 0.5 0.7 0.95…

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Q: If f(a) = 0 and f'(a) = 6, find lim la + h) 2h %3D %3D

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Q: D Find lim X,Y)→ (5,1) XY X+y or show it DNE.

A: We have to find limit

Q: Find the value of lim f(x), if f(x): I6+ S8x +5 6 %3D O 52 О 16 O 20 О 32 O 10

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Q: s(2) is continuos if lim f(z) =f(z,)

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_ (ti+ sin(t)j +…

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Q: Find the following limits: x²+y? lim (х,у)-(2,3) 3ху

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Q: Figd the digit for the following hun dioqs lim -2x-4 メー→-2 ×3+2メー 2/lim 4-X メ→タ 5- Jxi+q

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…