O Find lim show it DNE. or X2 -y2

Q: Find the limit as a number, o, or -o. Otherwise enter DNE. lim VnV5n+1 - V 5n |- [(u5

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Q: Letf(x) =(12x+a)/(7−bx). Find the values of a and b, given that limx→∞ f(x) =−2 and f(1) = 17.

A: Use the first condition for f(x) to find b.

Q: Evaluate the limit, if it exists. If not, enter DNE. limr 22 I+14–6 r-22

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Q: Evaluate the limit 3(y? – 1) - lim y→4 5y²(y – 1)³

A: Given, limy→43y2-15y2y-13 we know LHS = RHS of given limit on y=4 function is continous on y→4

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

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Q: Find the shown limit:

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

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Q: | The value of lim is Select one: O a. O b. None of the these O d. o0

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Q: Find the limit as a number, ∞, or -∞. Otherwise enter DNE. lim VnV An+1 – /4n) = n- 00

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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: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

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Q: I+ 3r2 lim z+00 4x –1

A: To determine :  The limits of  (a) limx→∞x+3x24x-1   (b)  limx→-∞1+4x62-x3

Q: Pind the Value of a if you Knou that lim (- X-X where afR

A: limx→2 1x-1-ax2-1 = 0

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: If lim, » 1512i (z2 + 30z) = x + iy, what is the value of a

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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: Which of the following is/are signified by lim f(x) = 00? %3D

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Q: ах? + bху + су? y-0 dx + exy + fyx“ ax? + bxy + cy 2. Evaluate lim lim- – lim lim y-0 x0 dx +exy +…

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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: Show with e and 8 that lim (t2 – t – 1, t? – 2t – 2) = (5,6) t→-2

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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: EX- Find Lim -im Z-2Z+4 Z-1-13i

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Q: LA Find lim ujs (Ад 10ex csch x

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Q: prout Lim An = Lim sup An = kzu

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Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

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: 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: flx) d) lim

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Q: For which value of n, does the lim- -ny'+16n = 2 y-2 32-ys

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Q: lim (r + 4x? + 4x – 1) = -1, x-2

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Q: Use L'H rule to find (a). lim zlng, (b). lim zn ez 1

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

A: Given limx→01xtan(x)

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: If f : A → R, cER is cluster point and lim|f(x)| = L, then limf(x) = L, Select one: True OFalse

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Q: Find the following limi xa- a 2) lim xa x- a

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

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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: Evaluate lim,0+ e(1/z) .

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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: lim 2 +and 2.

A: Explanation of the answer is as follows

Q: Find the limit lim (z + 7i)?. 2-2-5I

A: Consider limz→2-5iz+7i2 = 2-5i+7i2= 2+2i2= (2)2+(2i)2+2(2)(2i)= 4+4i2+8i= 4+4(-1)+8i= 4-4+8i= 8i

Q: O use L'Hospital Rule to Compore the rates of numerater and o the of the and grouth of den ominator…

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Q: Evaluate I (n +) lim as n → ∞ VnT (n + 1)

A: Given: limn→∞Γn+32nΓn+1

Q: Find the number ? ???h ?h?? lim ( picture )exists, then find the limit

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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…

Q: 7xy? Find lim if it exists. (x,y)→(0,0) x² + y2°

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