n 2х, + 2 lim n→∞ i=1

Q: x²-2xy+5y²+1 lim (x,y)→(0,0) 3x²+4y²+2

A:

Q: 1 a) lim n+00 V 0. 8 ) lim b) noo n+3 0. 5n2 – 3 (c) lim n0o 9n2 +4

A:

Q: Vh + 5 –2 | lim h→-1 h +1 A 1/4 B 1 DNE

A:

Q: 4 – x – y lim (1,9)→(2,2) I+y#4 T+ y – 2

A: Multiplying with conjugate:4-x-yx+y-2×x+y+2x+y+2=  (4-x-y)(x+y+2)(x+y)-4= -(x+y-4)(x+y+2)(x+y-4)=…

Q: 6. lim t+0o e3t + 4t

A: Given: limt→∞t2e3t+4t To determine: The value of the given limit.

Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1)…

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0,…

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

A: Given the query is to find the limit of the expression.

Q: x2 – 1- y lim (x,y)→(1,0) X – Vy +1

A:

Q: cscy+1 lim 1-secy a) as y→n/2 b) as y→t/4 с) as y> Зп/2

A: (a) Given,lim cosecy+11-secy Find the value of limit as y→π2 Hence, limy→π2…

Q: et – 12x + I lim r4 +1 e* +1 lim 1H00 I - 2 lim sin

A:

Q: 1 lim E n→ 00 i=1 'n² + i?

A:

Q: пу-1 TT 6. lim y→0_2y² + y(e2™y-1)

A: Indeterminate Forms: The symbols like 00, ∞∞, 0·∞, ∞-∞ are called indeterminate forms L'Hospital's…

Q: A. MCQS: I. LIMITS (2x+7x+6 3x2+5x-2. 1. lim-2 ( - 2. lim,-2 x+2 A.0 B. C.D. co A. 0 B. 4 C. 12 D.…

A:

Q: 4n+1 b] lim %3D n+3

A:

Q: 22 -y2 =? lim (z,1) (0,0) +y? O A. 0 O B. 1 OC. -1 D. Does not exist Reset Selection

A: Explanation of the answer is as follows

Q: Vу+4-2 lim y→0 y 1 O 2 1/4 O 1/2

A: Limit of a function at a point exists if both the left-handed and right-handed limits exist and are…

Q: lim z+0 z2 - 2sinz + 2x O 1 O 12 O 0 O 20

A: Let L is the limit value of given function .

Q: N 3s2 – 4s – 4 lim V→∞ s=1 N³

A: Follow the procedure given below.

Q: z²+3 lim- %3D iz Z-2 7i0 7 14 O

A: Given that limz→2 z2+3iz  We need to find the limit of the given question. The solution to the given…

Q: x--2xy lim (x,y) - (2,1) x²-4y² .A 3 .B 1 4 .C .D 1 2 ONIM

A:

Q: 4 Find Lim x-0 2e* – 12 А. В. C. - 0.4 D. 0.5 Select one: O A O C O D NIN 13

A:

Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

A:

Q: 3 lim- h→0 /3h +1 +1

A:

Q: lim Scy+1 1-secy a) as y→n/2 b) as y→T/4 c) as y→ 3t/2

A: a) y→π2 lim cosec y+11-sec y=cosec π2+11-sec π2=1+11-∞=-∞

Q: .2 lim (x, y) (0,0) along y = x2 |3|

A: Substitute y=x2 in the function. Now the limit becomes

Q: 3n + 2 Calculate lim V7n? +1 n00

A: The solution is 37

Q: (H.W) sin(t +4t+3) (7) Lim t -9 (H.W) t-3

A:

Q: RNEK : lim X-0 - dt = ? 14 + 1

A:

Q: Along the path x = e y +6xy find lim (x.y)→(1,0) 3x-y-3 Along the path x = e y? +6xy ind lim…

A: Let's find.

Q: 7 - 3y2 e. lim y00 7y2 + 3y f. lim tan-(e/) х2 + 3x — 10 g. lim x-3 х2 — 2х

A: Each parts are solved below.

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

A:

Q: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of…

Q: e? – 1 – z lim 2 z-0

A: The given problem is: limz→0ez-1-zz2

Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

A:

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

A:

Q: 2. lim 七や~1 Sx?+3-2, zー1

A: To Find the Limits of function 2.) limx→-1 x2+3 -2x2 - 1

Q: x2+mx+n lim 3 ise m.n : 37 - х-2 X→2 O A) 2 O B) HİÇBİRİ O C) -2 O D) -1 O E) 1

A: We have limx→2x2 +mx +nx-2 =3 we need to find m.n

Q: (b) lim→0 ē2a +1

A:

Q: y² (z,1) »(1,0) z² + y² – 2z + 1 lim =? O A. 1/2 O B. Does not exist. OC.1 D. 0

A:

Q: 172 lim n2 + nj + j2 j=1 00-u

A:

Q: x2y2 lim (r,y)(0,0) 2r+ y

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

Q: 3z+ 4y lim (2,0) +(0,0) 2z - 5y OA- OB OCo O D. Does not exist

A: Explained below

Q: 1 х — 1 x +1 h 4 (a) Lim (b) Ļim h→0 V5h + 4 – = -2 x→0 2 5 t3 – 1 = 3. - (c) Lim t→1 t-1 || +

A: Reduce the equations by rationalization or by algebraic identities to put the limits and get the…

Q: ー4 1. lim もラー2 t+t+ 1 to

A: limt→-2t2-4t2+5t+1 Plug x =-2 in it (-2)2-4(-2)2+5(-2)+1 Simplifying we get 0/5 = 0

Q: z2+3 lim- iz Z+2 7i0 7/2 4 7/2

A:

Q: 9 Jlgull z10 +1 lim -i 26+1 10 O 4 0

A: To evaluate the given limit

Q: Q.1 Determine a, b, c, d & e such that cos ax + bx+ cx + dx + e 2 lim-

A: To find the values of a,b,c,d and e

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1