Find the follawing limits: 1. lim tan" メーbo 2. lim Sith)2I 3. lim 2x-3 メー 7X+4

Q: lim Vx+3 メ4zx -3

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Q: limx→∞ 4x² 5x - 8 - 2x

A:

Q: How do you write a mathemcatical model for extending the sides of a rectangle?

A: First  we  take  a rectangle  of length  x   unit  and breadthy unit where  x≠y   Now  we extending…

Q: 3x4 – 2 lim 9a +7 II

A: Here we have to find the limit.

Q: C f(x) - I+/7-0x e fa) = 7 3. 2X -7 CK)にF--3

A: domain:- all the value of x for which y is well defined. Range:- all the value of y for the domain…

Q: x²+2x-15 lim X-5 |x+5|

A:

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: Find maximum and minimum value

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Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

Q: 7s + 3 1s² +8s +5) Exercise: Evaluate: L-1.

A: Evaluate  L-17s+3s2+8s+5

Q: 6x² - 6x³y* 3 4 6х У 2.

A: We have to product

Q: ペ--ド 3x-8x + 7メ-455 -3x + メ-XL+ウーメんー Evaluate the followng B.

A:

Q: O fend the values ofxlat which the fallocwing funchrons afe daanhin unus Pcx-ペースXー+3 fcx)= none none…

A: We have to find the point of discontinuity.

Q: YA 5) y = - 3x - 3 y = 4x + 4 2 4 $X -4

A: Given: y= -3x-3 y= 4x+4

Q: d Lim 3*+3 1a x- 7x +9 2.

A: Given: limx→∞3x2+3x2-7x+9

Q: Olim 33x-1-2 メー3 2x2-3x-9

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Q: S(x2 - 2)/xdx = 3 4 /x-글wx+C 4

A:

Q: Please help

A: Calculation:It is known that (a +b)2 – 2ab = a2 +b2.Use the above known formula to obtain the value…

Q: -3+ 27 26x +1

A: We have to find the intersection point of both the lines.

Q: lim x?+ 2x-3 Xラ -4" x2 +フx+12 Xャフメ+12

A:

Q: Find the perimeter of the rectangle that has its 4 corners: (1,2), (7,2). (1-4) and (7-4)

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Q: find the fur pose of the function- and give the reason. メ * x²4+ 3× メ<t

A: Follow the procedure given below.

Q: 12x :- 2x+スメ t. 3x-18 xメ-5x-6

A: Given expression is 12x3x - 18 ÷ 2x2 + 2xx2 - 5x -6

Q: sum 11x b.) 4x2 + x - 15 Product: Draw a diamond and rectangle below.

A: Explanation of the answer is as follows

Q: Simplify. Assume all variables are non-negative. 12821ºy" – 5 15,,10 2ay0 + 4xy/2a°y° ,8,,5

A: we have to simplify the following

Q: 4x' +2x? - 5 8. lim4x² +1)2x+5) II

A: Solution:-

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.