x2 + 2x- 24 Evaluate the limit: lim x4 x -4

Q: 15x 3x Evaluate the limit: lim (15x+4)

A: We have to evaluate, y=limx→∞15x15x+43x

Q: x2 - 4x- 12 . Evaluate: limx-0 x2 - 4

A:

Q: V2x2 + x - 1 lim x - 2

A: Solution:-  =limx→-∞2x2+x-1x-2taking x2 common from the numerator and x common from the denominator…

Q: r+2 Find the limit: lim x→4* x-4 3. Find the limit: lim

A: To find the limit value of a function at a given point  a , substitute x=a in the given function.

Q: x² - 4x Evaluate lim a xS4 1 -b. Зх — 1

A: Limit of any function at any point x=a is the value, which the function has the tendency to acquire…

Q: 9x-2x-568 The limit lim X- 4

A: Given information:

Q: 2x2–13x – 7 is The value of the limit lim- x-7 X+7

A:

Q: x-5 lim - 25

A:

Q: 5x - 2x +1 lim 1- 3x 3-Evaluate the Limit

A: we have to evaluate ,  A=limx→+∞5x3-2x2+11-3x

Q: 6x-2x2 lim x0 4x2-7x 4-By using Hospital's rule the limit equal to A) -6/7 B) 6/7 C) -7/6

A: We have to find the value of the limit limx→06x-2x24x2-7x by using L-Hospital's rule .

Q: Vx - 2 Evaluate lim XS16 x - 16

A: On simplification, we get

Q: Vx-2 Evaluate lim X→4 x-4

A: The given limit is an indeterminate form (0/0). To evaluate this limit, we need to simplify it.…

Q: x-4 Evaluate the limits lim: 00 -4 1

A:

Q: -x2 + 5x + 14 Evaluate lim x-2 -5x2- 2x + 16 Submit an exact answer.

A:

Q: 3x3 + x2 Find lim X+3 X+6

A: put x=3+h so that h=0.

Q: x + 2x-35 Evaluate the limit: lim エ>5 2x + 10

A:

Q: Theory and Examples

A: Given limx→-2 f(x)x2=1

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

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: x² - 4x+3 lim Find the limit: x - 8x +15.

A:

Q: V3x+10 - 4 Evaluate lim x+ 2- x2- 4x + 4

A:

Q: limx→∞42x3+2x2-2x/353+x2+4X+5=   What is the limit?

A: Given expression is We need to find the limit.

Q: x²-4x+3 Find the limit. lim x²-1

A:

Q: lim 11xei - 11x X00 Enter -inf if your answer is -0, enter inf if your answer is o, and enter DNE if…

A:

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

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Q: Vx² Evaluate the limit: lim +8–3 x+1

A: Explanation of the answer is as follows

Q: x2 + 4x – 45 Evaluate the limit: lim x → - 9 x + 9

A: Explained below

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: 4x2 Evaluate lim a xS5 100 -b. x - 5

A: Given that limx→54x2-100x-5. Compute the limit as follows.

Q: x2-4 lim x→2- |x+2| 6. Find the limit

A: The value of the limit is, 0   The detailed solution is as follows below:

Q: Vr +1-2 4. lim x - 3

A:

Q: x - 2.x - 15 lim

A:

Q: Evaluate the limit. Show all work. If any answer is "Does not exist," explain why. x² -49 לל x² -49…

A: 1.(a) We have to evaluate limx→7x2-49x2-2x-63…

Q: 3x2+11x+10 4. Evaluate: lim x→-2 x2-4 x3+64 5. Evaluate: lim x→-4 x2-16

A: Find the hand written solution.

Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

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

Q: Vx - 15 Find lim X- 225 X→225

A:

Q: lim X -00 (VxP_4x +2-1x-11) Evaluate the limit:

A: Using definition of modulus: |x-1|=x-1 ;    x≥11-x ;    x<1

Q: x³+64 5. Evaluate: lim x→-4 x2-16

A: Given that: limx→-4x3+64x2-16

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

A: Given limit is limx→3   x-2 -1x-3we have to evaluate the limit The given limit is of the form of…

Q: Q/ Evaluate the limits x2 +x- 2 lim x-2 X - 1

A: Given data,                    limx→2x2+x-2x-1

Q: find the limit or explain why it does not exist

A: Consider the given limit,                   y =limx→64 x23-16x12-8 .......  (0 0 form )  So given…

Q: Use l'Hopital's Rule to rewrite the given limit so that it is not an indeterminate form.

A:

Q: V4x2-1 Find (a) lim ズ→+ ー1

A:

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

A:

Q: 2x2-8x+15 5. Find the limit: lim -4x2+12x-2021

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Q: V39 - lim x → 39 x – 39

A:

Q: V5 +x - V5 Find lim

A: To rationalize the numerator of the given expression, multiply and divide it by 5+x+5, and simplify.…

Q: x+2 Find lim x+7 X-3

A:

Q: 3x? - 4x Limit of a rational function Evaluate lim xS2 5x - 36

A: We have to find the limit: limx→23x2-4x5x3-36 Since this is determinate limit so we just have to put…

Q: x→-2 -32 Prove the statement using the ɛ, § definition of a limit.

A: Explanation of the answer is as follows