tan(t)-sin (t) 1. lim tcos(t) tan(5x) 2. lim 3x

Q: 1 + x + sin x 47. lim 3 cos x 49. lim Vx + 4 cos (x + T)

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Q: (а) lim 1-cos() 3x 1/х 1/х (b) lim хе 1/х (Hint: хe x+0"

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Q: a. limr→0 cos(x) b. limx→n

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Q: d) lime tan 0 sin 0 3. e) lim0 sin z-cos z+1 3z

A: We have to find the limits .

Q: sin'y 11) lim y--TT 1+cosy •TE1+cosy

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Q: cos x dx - In (1 +x) 1- cos x a) b) lim

A: Given: a)∫011-cos xx2dx b)limx→0ln1+x21-cos x

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: Rx+2sinx Q2.a) lim sin (). sec (in 3+x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: lim (x,y)¬(0,0) cos-1 (*-xy x²+y²

A: Given

Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

Q: find the given limits

A: we have to find the limit limt→-1t3i+sinπ2tj+(ln(t+2)k

Q: lim -1 x+1 tan t sec 2t lim 3t

A: We know limx→0tan xx = 1 limx→af(x)·g(x) = limx→af(x) · limx→ag(x)

Q: sin 3y cot 5y Q7// Evaluate limy→o° y cot 4y

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Q: Prove the reduction formula

A: To prove: ∫tankx dx=tank-1xk-1-∫tank-2x dx

Q: Find the limit

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Q: tan ax x→0 sin bx f) lim ; a±0, b± 0

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

Q: lim zta sec z is A B 2 D nonexistent

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

Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

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Q: 2y-n -Tt 7. lim cos y 2

A: Given:         limy→12π2y-πcos y    Let   π2-x=y, ⇒π-2x=2y      As y→π2,x→0

Q: e-3sin z (c) lim x² (d) lim sin(rx) lIn (x – 1) x→1+

A: The given limit is: (c) limx→∞e-3sinxx2  To find the value of the limit.

Q: sin(6a°y³) =? lim a,y)→(0,0) xl12 + y4

A: If we put (0, 0) along the line y = m x3 , then,

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: Find the limits

A: Find the limit limx→-πx+4cosx+π

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: cos x In (1 + x) a) dx. b) lim 1 - cos x

A: Given: ∫011-cos xx2dx limx→0ln1+x21-cos x

Q: (2e + 1)" lim (tan(x))" DNE ||

A:

Q: sin 3y cot 5y Evaluate limy-0 y cot 4y

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Q: 2x tan x+ cos I COS T lim

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Q: Find the limit

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Q: 4x 3-limx-0 tan5x sin(cos y) 4-lim, y- 2

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Q: lim x" sin is NOT zero when: x→+∞ O a 1 a > 1

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Q: T+tan x 4. lim sin X→0 tan x-2 sec x,

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Q: lim(z – 1) csc TZ Is

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Q: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4…

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are…

Q: sint lim t--0 t (A 1- cost lim t0 B t et – 1 . lim t-+0 t + sin t lim t-40 2 D t

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Q: 2-t+ sint 45. lim t+ cos t

A: We have to find he limit: limt→-∞2-t+sin tt+cos t

Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: (1) limr-(n/2)-(tan x)cos x (2) lim,-o x-3(tan-x-x) (b) If у %3D 4u?-Зи + 2 %; и 3 е* + 2e2х, find…

A: For other questions reupload according to bartleby guidelines

Q: lim t→0 of tan4t/sin2t

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Q: lim-sin t t0 In(2et_1) %3D A © D B.

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Q: lim y→0 sin3y/4y

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Q: tan x lim tan 3.x X → T/2

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Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

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Q: ez - x - 1 lim 1-0 -1+cos r COS T

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Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x

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.