Lim CosXy (メヴ)→(o) ×"+y?

Q: Evaluate using a substitution θ =11x

A: Given limit  limx→0 sin 11xx Since we have an indeterminate form of type 00. Apply the L' Hospital's…

Q: limx-->0 sin3x/ex-1

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Q: Evaluate limx-->0 (sin 2x sin 9x)/(x^2) Without using L'Hospital's rule.

A: The given function is limx-->0 (sin 2x sin 9x)/(x^2)Use the expansion for sin x to simplify (sin…

Q: tan?x lim

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Q: Evaluate using substitution. lim 3 sin x x→ -π/2

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Q: Find lim(2 – x)tan(r2/2)

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Q: lim cos x+4e* is 5er

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Q: ev2x-y lim (x,y)→(3,2) x*-4x2 lim (x,y)¬(0,0) \x²+2y²,

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Q: Find: tanx-sinx d) lim x3 4.

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Q: Vx +1-1 2. lim

A: we have to find limit

Q: lim (х — Vx? + х

A: Consider fx=x-x2+x. Simplify the above function. fx=x-x2+xx+x2+xx+x2+x=x2-x2-xx+x2+x=-xx+x2+x

Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving…

Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: Evaluate lim (x,y) ---> (0,0) (2xy^2)/(3x^2+3y^2)

A: Given term is: limx,y→0,02xy23x2+3y2

Q: 2ェ+ COS lim エ→ー 3.x - Vz?+3

A: I=limx→-∞2x+cosx3x-x2+3dividing x b N and…

Q: Show that limxy)H(-2,0) g(x, y) does not exist given that (x + 2)³y? (x + 2)6 + 3y4' 0, if (x, y) #…

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Q: Does lim(x,y)→(0,0)y2x2 + y2 exist? Explain.

A: Given, limx,y→0,0y2y2+x2 now check limit on y=mx limx,y→0,0m2x2m2x2+x2 limm21+m2 so m21+m2 is define…

Q: why is limx->0[x^4 * cos(2/3x)] not equal to zero? I thought that if I plug in zero to x^4 it makes…

A: Given that: limx→0x4.cos23x

Q: lim Vr In r.

A: To evaluate the given limit.

Q: ^2/sin^2(2x-6) = -1 since sinx/x =1? then limit is like x^

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Q: 2 lim (cosx)x² =?

A: We have to find the limit

Q: 2. tanx カイ Lim (3, 주 so +1 wi7

A: Explanation of the solution is given below...

Q: tan(x) Q1: limx¬n X-n is

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Q: lim 19th 3. 1/-

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Q: メ*+リ tyz Evaluate limxy)(0,0) x²+ x* +y? 十4-2

A: It's a fairly standard evaluation of the limit: Multiply the numerator and denominator with the…

Q: Evaluate using substitution.

A: limx→-π23sin x

Q: tan X AWO Lim メーラク メ O Lim 2, 5+s° (3) Lim J-→の y生チンチアメチタ

A: Since you have posted multiple question in this question so I have solved first three question…

Q: tan t sec 2t 2- lim 3t

A: Using rules of limits to find the answer.

Q: lim (In(x))* ?

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Q: Using Squeeze Theorem, show that lim x* cos-

A: Squeeze theorem

Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: Evaluate using the Squee ze Theorem.

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Q: Evaluate using substitution.

A: We have to calculate the following limit L:

Q: Evaluate limco.g(2y) by as (2,y)¬(0,0) 9y) by as can where many ways - xy as you gceoy) = x²- %3D in…

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Q: nd lim delta -> -4, tan(delta + 4) /5delta+20

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Q: lim (2,y)+(0,0) In(2 + x² + y?) x2 + y?

A: We have to solve given limit:

Q: 2 sin(Tr) Va – 1 Find lim

A: Explained below

Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

Q: lim x in (It -)

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Q: lim xi-

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Q: lim cos (3x)

A: The given limit does not exist ( undefined) The simple reason is that cos(3x) is an oscillating…

Q: cos 3x – cos 2x - Evaluate limx→0 x2

A: Consider the given function, limx→0cos3x-cos2xx2 applying the limit to the function we get,…

Q: tan(ху) = ? .2. (х,у) >(0,1) х*y+x lim

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Q: lim Vz+6-V6

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Q: 22 xtan"x secx

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Q: 3 – Vr +7 it lim х — 2

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Q: lim as x goes to 0 (sin(2x)+7x2 - 2x / x4 + 2x3 + x2)

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Q: O Lim tanx メーや メ O Lim 2 5+. 6 3) Lim y4 3-→ yリデッチァメネ9

A: As per guideline we have to solve only 3 subparts