Compute the following limits exactly. Vx+22 -10 lim X 78 X-78

Q: Evaluate the following limits. x2 - 4 lim x-2 x - 2 1.

A: Given: limx→2x2-4x-2 Simplify the equation…

Q: V1+ 3x – 1 lim

A:

Q: lim x2 + 5x – 6 x> 5

A:

Q: evaluate the following limits (1 + x): -e lim-

A:

Q: Evaluate the following limit: 3 x - 6 lim x→0 7 - 8 Vx 3 ||

A:

Q: Calculate the following limit: -5•x3 + 22· x² -6•x lim X +0 7.x2 – 35 · x

A:

Q: Evaluate the following limit. lim 1+ X

A: Answer is e^2. Explanation is given below...

Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: Find the following limit. x + 2 lim x→-8- x + 8

A: Given that a limit problem and we solve this problem by using general property of limit.       Here…

Q: Find the following limit or state that it does not exist. 3 3 2 +h 2 lim h

A: Given: L=limh→032+h-32h

Q: Evaluate the following limits: (c) lim 2 x²+3x-10 x-2

A:

Q: Consider the following limit. x – 6 lim 146 r2 – 36

A: Complete the table using x values

Q: (a) Evaluate the following limit: -r+x² lim x++00 -|- 3.x|+9

A:

Q: Evaluate the following limit algebraically, if it exists

A: Evaluate the given limit as follows.

Q: Evaluate the following limit: lim Vx(x – 7)2 = x→9

A:

Q: 3. lim (4x+1) wt x

A: Given that;  Lim x-0+  (4x+1)^cotx

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

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

Q: Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 +…

A: To find: limx→2x5-32x-2 Using the formula: xn-an=x-axn-1+axn-2+a2xn-3+.........+an-2x+an-1

Q: 4. Evaluate the following limits: 2x2 – 10x + 12 (a) lim x→2 x² – 12x + 20

A: Given: a)  limx→22x2-10x+12x2-12x+20

Q: lim x/(x-1) x→1+

A:

Q: 12) Evaluate the following limits, if they exist: -e-x+1 ) lim 5x b) lim- V8x* - 6 -* 7x -3

A: Given This limit is an indeterminant form as

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

A:

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x² x +9x-22 x²-4 lim X-2 -

A:

Q: Зx3 lim х +2 +3x+5

A: limx→∞3x3+3x+5x3+2

Q: Evaluate the following limits.

A: We have to find

Q: Find the following limits : 2x+3 2) lim x-o 3x-1

A:

Q: X-2 a. lim x-1x2+x-6

A:

Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: Find the following limit or state that it does not exist. x²- 5x +4 lim X-1 X→1

A:

Q: Evaluate the following limit, if it exists. x2 – 3x - lim x→3 x² 4x +3

A:

Q: go2 – 3r + 7 lim x * + 10 – 4

A: Solve by limit

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

A:

Q: Evaluate the following limit, if it exists. lim (8-1/2) x→6

A:

Q: Evaluate the following limit: x4 – 16 lim x→2 x +2 -

A:

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

A:

Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

A:

Q: Evaluate the following limits: lim, +3(x³ + 2)(² – 5x). |x+4| lim,→-4-(). x+4

A: limx→3(x3+2)(x2-5x)

Q: lim H -3 x+3 +27

A: Given : limx→-3 x+3x3+273 To find: Evaluate the given limit.

Q: Find the following limit. x + 2 lim x→-6 x + 6

A:

Q: Q3: Evaluate the following limits 1- lim(x2 + 5x) x-2 (x+1) 2- lim x--1 (x²+6x+5)

A: To evaluate the given limits

Q: Lim 3xh x² つー +12

A:

Q: ) lim x/(1-x) I→1+

A:

Q: Evaluate the following limits. lim (V3x + 3 5) а. X→-1¯ b. lim (V3x + 3 – 5) X→-1+

A: Here we evaluate the limit for function.

Q: evaluate the following limits lim        x-2/ x^4 −2x^3 +1 x→−∞

A:

Q: Evaluate the following limit: x + 2 lim x→-3¯ x² -+ 2x – 3 O +∞ 10

A: The given limit,        limx→3-x+2x2+2x-3

Q: Evaluate the following limits. 2x – (a) lim (2+ x) |3 – 6x| 1

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

Q: Evaluate the following limits. Be sum x3 – 4.x 1.) lim z+21 - ebz-12

A:

Q: Evaluate the following limits. 3x+1 a. lim x--2 2-x

A: Given:  Let y=limx→-2 3x+12-x To Find: To evaluate the given limit.

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.