Evaluate using substitution. lim (5x - 12x- 2) x→ -1

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: Inx lim =? x→1 x-1

A: Given: limx→1lnxx-1

Q: 16. Evaluate : limx → 5x-2 a. 9 b. 27 C. 81 d. 243 e. Does Not Exist.

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Q: ax? Find lim X → - ∞ bx +c • where a>0 and b<0. |

A: Given, To find limx→-∞ax2bx+c where a&gt;0 and b&lt;0

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→27 x-27x13-3 We can write the above equation limit as limx→27 x133-33x13-3

Q: limx-0 () O True O False

A: The limit of a function at a point ' a ' is the value that the function approaches as its argument…

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: ■ Find the limit.

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Q: 25x2 - 70xy + 49y? Find lim by rewriting the fraction first. 5x - 7y (x.y)→(7,5) 5x + 7y 25x2 - 70xy…

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Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: We have given a limit function;

Q: x* + x? 1 lim

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Q: ng the fraction lim xy-y-9x+9 X-1 (x.y) (1,6) x#1

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Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

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Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: the given limit is: limx→-2x3+8x2+6x+8 we have to evaluate the given limit using the identity:…

Q: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

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Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given: limx→1x2-5x+4x3-1 for evaluating given limit, we factorize denominator and numerator

Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

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Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: To find the limit of an expression we have to write the expression in its simplest form and  we need…

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: Given, limx→1x4-1x3-1. The objective is to evaluate the limit.   Apply the identity: x2-y2=x+yx-y…

Q: . lima 9(x) = 0 if and only if limx→a g(x) = 0.

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Q: 3 x° + y lim (х,у)>(1,-1) х +у

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Q: Evaluate in terms of the constant a. lim (4t - 2at + 3a) t→ -1

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Q: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: evaluate using substitution.

A: We substitute x=3

Q: b) Evaluate L = lim (2x?

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Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

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Q: 2x + 1, -7x+19, Find lim f(x) X 2 %3D X2

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Q: Vx- 5x + 3 lim 2x + x3 – 4 - Evaluate without using l'Hôpital.

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Q: ( ) Evaluate L = lim x+ Vx² + 1 r -00

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Q: Use the table to find  limx→9f(x)limx→9f(x) x 8 8.9 8.99 9 9.01 9.1 10 f(x) 10 11.8 11.99 10…

A: Givenlimx→9f(x)

Q: Evaluate using substitution.

A: Let the given limit be y - y = limx→3 x+2x2+2xy = limx→3 x+2xx+2y = limx→3 1x

Q: lim (r + 4x? + 4x – 1) = -1, x-2

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Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: V4x – 7y – 4 Find lim by rewriting the fraction first. 4х -7у - 16 (ху) ->(4,0) 4x - 7y + 16

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Q: Use direct substitution to find the following limits: 2.x3 + x² – 9x – 1 1. lim x-6 x-6 - 7x+ 8x – 5…

A: As per our guidelines we can solve only one question subpart at a time please resubmit unsolved…

Q: Evaluate in terms of the constant a.

A: Given :            limx→ax-ax-a

Q: b. Evaluate lim X0 ex

A: Given limit is : limx→0xex  To find the value of the limit.

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: Evaluate in terms of the constant a.

A: limx→0 (x+a)3 - a3x -(i)Our Aim is to evaluate the term given by equation-(i) in terms of constant…

Q: Vx+4 -2 1 limx-0 2 True False O

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Q: Evaluate in terms of the constant a.

A: We have to evaluate the limit: limh→0a+2h-ah Since it is 00 indeterminate form ( after putting h=0…

Q: 6h 2-lim0 tan4h

A: Given that  the limit is  To evaluate the limit

Q: Evaluate in terms of the constant a.

A: To evaluate In terms of a

Q: ) Evaluate the function  f(x) =x2   -(2x/1000 )for x=1,0.8,0.6,0.4,0.2,0.1 and 0.05 and guess the…

A: Given function, f(x)=x2-2x1000

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A: Given integral is We will factorize the quadratic factor by splitting the middle term as follows.

Q: 7xy? Find lim if it exists. (x,y)→(0,0) x² + y2°

A: