3. Evaluate the limit. You don’t need to state the properties. 2x2 — х — 3 lim x--1 x2 + 5x + 4

Q: 3e2+6 + x² – 12 lim I-3 x³ + 6x² + 9x

A:

Q: Find the limit algebraically. 2x lim 16 -x - 4 O - 16 O 16 O -8

A:

Q: Q4\ find limits of the following x² –16 1- lim x-4 x -4

A: we need to find the given limit. 1-limx→4x2-16x-4

Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

A:

Q: (3) Evaluate the limit, if it exists. (h + 7)² – 49 h (a) lim h0 1² + 3x – 4 (b) lim 1² + x +12

A:

Q: Use the Properties of Limits to evaluate the limit, if it exists. (If an answer does not exist,…

A:

Q: Find the limits x² - 7x lim X-o X + 1

A: Given: limx→∞x2-7xx+1

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

A:

Q: - What is the limit of lim 5*? X--00 A. -00 В. О С. 1 D. +00

A: limx→2 x3+13=23+13=93=33=1

Q: Vx+5-3 lim X→4 х—4

A:

Q: Q4\ find limits of the following x² –16 1- lim Xー→4 x-4

A:

Q: Use the e-N definition of limits to show that 2n -15 lim = 1. %3D n0o 2n - 13

A: The objective to show that limn→∞2n-152n-13=1.

Q: Evaluate the limit in terms of the constants involved: lim (8t 9at +7a) t -3 %3D

A:

Q: 3. Evaluate the following limits. (a) 12 – 2x - 1 lim Va – 15 (b) lim (V17 - )(z - 5)13

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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: V +3x lim 2x+1

A:

Q: Q/Calculate the limit statement lim l है 7) X → -

A: The objective is to evaluate the given limit. Lopitals rule states that limx→af(x)g(x)=LIf f(x)→0,…

Q: li'n -3Carl) lim -3n-3 ヘ→ 0 ヘう o

A: Yes. It is -3. Just take n common from both numerator and denominator and then put n tends to…

Q: Q.4. Calculate the following limits, if exist. 5x4 - 4x3 -x lim 10x3 -6x4 - 2x 1) x2 -16 lim x-4 x2…

A:

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: Find the limit, if it exists.

A: Given: limx→∞4x2+5x2+3

Q: Find the limit, if it exists.

A: Given: Let y=limx→-∞2xx6-113 To Find: To evaluate the given limit.

Q: After direct substitution the limit lim (1+x²)secnx gives Select one: O 10 O None 00

A: limx→∞1+x2sechx

Q: b) lim (1 +2x)³A * x=0

A:

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

A:

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: The given limit is, Dividing both the numerator and denominator by x2,

Q: 1. Evaluate the following limits: a.) lim,-3 V13- x2 b.) lim . 4 t2 → 2 12.-5t+6

A: The solution is given below:

Q: Evaluate the limit, if it exists x² + 9 – 5 30. lim x→-4 x + 4

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Q: A- The result of the following limit is 2x² + 3x lim x→∞0x³ + x + 1

A:

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

A:

Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

A:

Q: Find the limit, if it exists. x2 + 16x + 63 10) lim x--7 10) x+7 A) 224 B) 16 C) 2 D) Does not exist

A: Given, Find limit limx→ -7x2+16x+63x+7

Q: Find the limit. (If an answer does not exist, enter DNE.) 7(x+Ax)- 7x lim Ax-0 Ax

A:

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

A: Given

Q: 8x³ – 5x? +17 lim 3 6x' + 2x² – 4x X00

A:

Q: What is the limit as x approaches positive and negative infinity?g(x) = (10x^5 + x^4 + 31)/x^6

A: We need to find the limit as x approaches positive and negative infinity for the function given…

Q: Find the limit or show that it does not exist

A: Find the limit of the function.

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 value k for which the following limit exists: 4x2 + kx + 7k – 6 lim x→3 2x2 — 5х — 3

A: Given limx→3 4x2+kx+7k-62x2-5x-3-1Now   2x2-5x-3 Can be written as         2x2-6x+x-3…

Q: Evaluate the given limits: a) 2x3 + 5x² + x – 1 lim x→+0 e2x -

A:

Q: x2 + x – 6 lim х — 2

A:

Q: 3e*+0 + x? lim →-3 x3 + 6x2 + 9x

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

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

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: Find the limit, if it exists

A: To find the limit, if exists.

Q: Evaluate the limit. x3 + x² + 9x + 5 lim 4 - 7x? 2 -00 Enter INF for o, -INF for -oo, or DNE if the…

A:

Q: Q4 find limits of the following 2-2 1-lim *-4

A:

Q: Q 3 Find the following limit if it exists: lims2-2 X -2

A: Given,

Q: # 11. The lim,→-4 x²+ cx+c+5 x² + 5x+4 exists. What is the value of “c“? What is the value of the…

A:

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A: