Vx - 15 Find lim X- 225 X→225

Q: Vx- 3 - 3 6. Find lim x→12 X-12 %3D

A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: x² +3x +2 2x? - х-3 b) Evaluate lim

A: Let's factorize the numerator and denominator to see if we can cancel out the common factor.

Q: Vx+8-3 Evaluate ' lim-1 x+1

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Q: V1+x-1 lim

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Q: 2x0 – 6x' –1 21. Find lim x→0 x" – 5x' +10

A: Consider the given limit,…

Q: x²+2x-15 lim X-5 |x+5|

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Q: Vx +8 -3 22 Find lim X-1 x+1

A:

Q: Q2: Find: 3-8 b)lim 8-2x a) lim x-2 5-Vx2+9 x-2 x-16

A: There are some forms in mathematics which cannot be determined. These values are still not known;…

Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

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

Q: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

Q: 5x + 4 Find lim X2 x - 3

A:

Q: V3x2+6 Evaluate lim x--0 5-2x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: .2 Find lim x+Vx +5x X→-00

A: To find:-

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: -x2 – 2x – 4 Calculate lim x o x2 +x - 20

A: Given:  limx→∞-x2-2x-4x2+x-20

Q: 6x3 Find Lim x+0 X-4x

A: L’Hospital’s Rule tells us that if we have an indeterminate form 0/0 or ∞/∞∞/∞ all we need to do is…

Q: Find the limit

A: Given,

Q: V4-x 5. lim X-2- x-2

A: Given limx→2-4-x2x-2Since we have in the form of 00, we apply L'Hopitals rule limx→2-4-x2x-2=…

Q: Find Vx2 +8 - 3 lim x +1 x-1

A:

Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

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Q: x+3-V3 Q27.a) Find lim- X0

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Q: x2 - 2x lim r73 x + 1

A: Given, Findlimx → 3 x2-2xx+1

Q: x2 + 9x + 20 x + 1 lim X-1

A:

Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A:

Q: x² +x-5 1- 2x-x (1) Find lim

A: The given limit,     limx→∞x2+x-51-2x-x3

Q: V5x+4-3 3) lim X-1 x-1

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Q: lim,-1 f(x) =

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Q: x² – 4x + 3 Find Lim x-0 5

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Q: lim ㅠ- (2x) X->0

A:

Q: find Hhe fimih lim 28 X-8

A: Given: limx→8 x-7-1x-8 On applying the limit we get an indeterminate form of type 00

Q: x – 4x Find Lim- x-00 3x3 + 6x A. 00 В. О 2 С. D. olo

A:

Q: Find the lim x -9+ 6 + x DNE -00

A:

Q: 4-4e* lim X0 xex 7) Find:

A: limx→04-4exxex We need to find the limit

Q: Evaluate Vx+3-2 lim x11

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Q: Vx - 15 lim X-225 X-225

A:

Q: raleuto lim Y-12 XB

A: First rationalize the expression as follows.

Q: If7-3x sfx)s7-x for - 1$x$1, find lim f(x). lim fix)

A:

Q: x* + x² - 1 Find lim XC

A: Please see the explanation below

Q: V25+x -5 4-limx-0

A: At first, put x =0 and find the answer, if it results in indeterminate form then use the L'hospitals…

Q: Find Vx2 +8-3 lim x--1 x +1

A: we have to solve the given limit . so , we rationalise the numerator .

Q: Evaluate r-8 a) lim- T6 -Vx-2 3.x-1 b) lim ²-1 『→ーズ

A: a) Evaluate the limit limx→8x-86-x-2 as shown below.…

Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: Find: x3-x2+x-1 a) lim x-1 x+lnx-1

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Q: 8(x) x -1 Find lim

A: Solution is given below

Q: Find the limit

A: