lim -y3-3y²+4 y--2 -2y2-y+6

Q: Find the limit of the following 2x+1 2x – 3 lim 2x + 5

A: We have to find the value of limit which is given as: limx→∞2x-32x+52x+1 The form of given limit is…

Q: Vh+9-3 lim h h→0

A: limh→0h+9-3hSince given limit is 00 indeterminate form.Therefore, use LH rule and solve.

Q: Find the limit, if it exists.

A: limx→-∞x4-1x3-1=-limx→-∞x4-11-x3 We have limx→-∞x4-1=∞limx→-∞ 1-x3=∞ So by  L'Hospital's Rule, we…

Q: Evaluate the limit, if it exists. t2 -9 a) lim;→-3 2t2+7t+3

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: V2x-V6-x 23.. lim X-2 4-x2

A: Given, limx→22x-6-x4-x2

Q: Find the limit, if it exists. x2 - 36 lim X6 X-6 O12 ) 1 Does not exist 6. OOOO

A:

Q: Evaluate the limit, if it exists. ( 6. lim t-0\ 을) tV1+t

A: We have to evaluate the limit: limt→09t1+t-9t Since it is ∞-∞ so simplifying  the limit, Taking 9…

Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: Compute the following limits, using the [4 -(xn) → 0 Algebraic Limit Theorem,where 1+2xn (a…

A: Let (xn) be sequence such that limn→∞xn=0.

Q: r-1| limr→1 2r-2

A: We have to find

Q: Q4\ find limit of the following 1-lim -2 Jx-2

A: we have to find the following limit

Q: Q4\ find limit of the following x² - 2 1- lim Vx-2 X2

A:

Q: Find the limit. lim X-2 x+2 O 1/2 -00 O Does not exist

A: Answer is limit does not exist

Q: Find the limit, if it exists. 1) lim (x2 + 8x - 2) X→1

A: =?

Q: Vx+5-3 lim X→4 х—4

A:

Q: Prove the limit statements Sx², X = -2 **-2 lim f(x) = 4 if f(x) I-2

A: Given, fx=x2x≠-21x=2 To prove: limx→-2f(x)=4

Q: Find the indicated Limit Lim, 0 (4h - 20h + 2h+1)

A: As it is not an indefinite or undefined limit so just put the limit and simplify.

Q: Determine the following limits analytically.

A: Given limx→3x2-9x2+42x2-3x-9 By using  a2-b2=(a-b)(a+b)

Q: Q4\ find limit of the following 1- lim x² -2 Jx-2

A: We have to find the value of limx→2x2-2x-2 Substitute x=2     =22-22-2=4-20=20=∞

Q: Evaluate the limit. lim 2h+3 h245h+2

A: Topic - limits. The given limit is limh→−1 2h2+3h2+5h+2.

Q: Find the following one sided limit -5 lim z→1+ £ – 1

A: here we have to find limit from right hand side

Q: Evaluate the limit in each of the following: 1. lim -1) V-2 2. lim hint (z = V8+ x)

A:

Q: Evaluate the following limit V1+ cx lim x→0 - 1

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2.…

A:

Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

A:

Q: Find the limit, if it exists. (I |x + 2| lim x--2 5x + 10

A: Given, The limit limx→-2x+25x+10  We have to find the limit.

Q: evaluate the following limits (x+3)3-27 limy -20

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

Q: Evaluate the following limit x3 + 2y³ lim (x,y)→(0,0) x² + 3y²

A:

Q: Find the limit, if it exists.

A: Given: L=limx→-∞5x2x+3 For evaluating given limit, we simplify given expression and evaluate the…

Q: 2+x 4. lim 3x-7

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

Q: t2 - 1 lim t→-2 t2 +3t-1

A: Given limit is limt→-2t2-1t2+3t-1.

Q: Evaluate the limit, if it exists.

A:

Q: Q4\ find limit of the following -2 1- lim x2 X-2

A:

Q: Find the limit, if it exists. Vx² – 5 lim - 5 7x – 1

A:

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

Q: 7cos 2z-1 24. lim Z→0 4sin 3z

A: Given to evaluate the limits of a function:limz→0 7 cos 2z -14…

Q: Evaluate the limit in terms of the constants involved: lim (2t – 5at + 9a) = t→-2

A: Given

Q: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

A:

Q: Find the following limit: Vx² +3 - 2 lim X-1 x? - 1

A:

Q: x2-4x+3 21. lim X-1 x2-1

A: =?

Q: Find the limit, if it exists

A:

Q: Evaluate Hhe following Limit lim 43+2)2-9n-18 n3-9K

A:

Q: Evaluate the limit, if it exists.

A: Given,  limu→24u+1 - 3u - 2 When we apply the limit directly into the function we will get 0 in…

Q: Evaluate the limit, if it exists.

A:

Q: Find the shown limit.

A: To Determine:  find the limit. Given: we have limx→511x-3x2+1 Explanation: we have a limit…

Q: Evaluate the following limit in two different ways.

A: Given: limx→∞2x3-x2+15x3+2x

Q: Evaluate the limit: 7t3 – 4t = lim t→ 2 %3D

A:

Q: Find the following limits. If the limit is either oo or -o, say this. x3 – 7x – 4 (a) lim x² + 18

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.