Evaluate the following limit. x² + x – 2 lim a-2 x2 + 5x + 6 O A. 3 Ов. O B. O C. 0 O D. -3 O E. 2

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – o. 18z (a) lim + 3 – 2x 18x…

A: a)limx→3+218x3-2x limx→3+218x3-2xAs ,x→32+,(3-2x)→0-And,a0-→-∞⇒limx→3+218x3-2x=-∞

Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: Q 2 Find the following limit if it exists: lim,+25 C 25 Vx-5

A: The given limit is

Q: Find the limit for the following function, (2 + h)-1 – 2-1 lim h-0 h

A: We use to solve this limit by simplification/factorization method

Q: Find the following limit. bx lim *0 2xa + ax

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Q: Calculate the following limit of f(x). x² + 6x + 9 lim x +3 X--3

A: Calculate the following limit of f(x) . In this we use L'hospital rule because here made a 0/0 form…

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – o. 20x (a) lim 3 + 3 — 8х 20x…

A: the given limits are: a  limx→38+20x3-8x(b) limx→38-20x3-8x we have to evaluate the given limits.

Q: Find o for & 0.1 for the following limit. lim 2x? 3 = 29 エ→4

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Q: Find the following one sided limit -5 lim I1t -1 O- Infinity O Infinity O-5 O 5

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Q: Evaluate the following limit: lim x→2+ x – 2 O No answer text provided. |- 1/2

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

A: we have to find the following limit

Q: Consider the following one-sided limit. x² + 676 lim +26* x – 26 Step 1 of 2: Approximate the limit…

A: First we evaluate the function values at 27,26.1,26.01 and 26.001 then by using these values we can…

Q: Evaluate the following limit: √x-2 lim- x+4 T²-16 01 32 Oº O O undefined 032

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Q: Evaluate the following limit 5 - Va lim z+0 5 + Vx Answer:

A: We have to find the limit of limx→∞5-x5+x We know x is strictly increasing function in the interval…

Q: Find the following limit: - lim I+1 +4 O 5 O 1/5 O Undefined -Infinity O Indeterminate Infinity

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Q: find the following limit or state that does not exist lim h->0  ((3/2+h)-3/2)/h

A: Given,

Q: Evaluate the following limit algebraically, if it exists

A: Evaluate the given limit as follows.

Q: For which of the following functions does the limit as x → 2 exist?

A: Given: 1.limx→2x-2x-22.limx→2sinx3.limx→2x2-4x-24.limx→2x2+16x-225.limx→2x2+x2x-16.limx→2tanπx4

Q: Evaluate the following limit: x3-ze?y lim (x,y,z)-(-1,0,4) 6x+2y-3z .A 5 18 .B .C -5 12 .D 12

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Q: Vx+5-3 lim X→4 х—4

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Q: Find the value of the following limit. f(1+h) – 1 lim h→0 h

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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: Evaluate the following limit: 3x + 5 lim x-00 In(2 + 4e*)' Enter -l if your answer is -o, enter I if…

A: Given limit is limx→∞3x+5ln(2+4ex) The limit is of form ∞∞, so by L'Hopital's Rule , we have…

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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

A: use the l hospital rule for finding the limit.

Q: Determine the following limit. V4+x – 2 lim0

A: We find limit of given function

Q: Evaluate the following limit: 5.x 17x lim x-00 17x+4 Enter -I if your answer is –o, enter I if your…

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Q: Find a o that works for ɛ = 0.01 for the following limit. lim 5z - 8 = 12

A: Given that: ∈=0.01limx→25x2-8=12

Q: V3x2+4 d. lim X-00 x2-7x+12

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If…

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Q: Find the following limit: VI10_5 (x+3)2 lim0

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Q: Evaluate the following limit. 3t lim t+8+3 tan'tk t+g +.

A: Topic - limits

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for ∞, and DNE if the limit does…

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Q: Find the values of the following limits : V4+h 1-limn-0 2 - h

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Q: Evaluate the following limit: x2 – 25 lim x--5 x+5 (A) -10 B the limit does not exist + 00 D 0

A: A detailed solution is given below.

Q: cotz x/T-

A: The given expression is: L=limx→0cot x-1xx=limx→0cos xsin x-1xx=limx→0xcos x-sinxx2sinx Now, the…

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

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Q: Find the following limit or state that it does not exist. 8 8 9+h 9 lim h

A: First we have to simplify the given expression.

Q: Find the limit, if it exists. lim x+ 00 ex O A. ex O B. - 0 O c. 0 O D. o

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Q: Evaluate the following limit. lim (2i)2 n-00 i=1 n

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Q: Evaluate the given limit as a number, o or -o. In(x424 +3x +16) lim X 00 %3D x0.001 8.

A: Concept- ln(infinity)= infinity

Q: Find the following limit: lim f(x) O A. 0 О В. О Ос. 3 O D. 4

A: We have to check

Q: lim H -3 x+3 +27

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

Q: Lim 3xh x² つー +12

A:

Q: 9-x lim x-9 v-3

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the limit, if it exists

A: To find the limit, if exists.

Q: Find the following limit. lim h 0 V2h + 1 +1 h→0 2.

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Q: Evaluate the limit, if it exists.

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Q: Find the following limits when they exist: 1. lim g(x)   x to 1

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