-e lim te Int - 1

Q: 1-cos(x) Find lim x-0 2x

A:

Q: Sketch a graph of y = 8 on [- 5, 4] and use geometry to find the exact value of int -5 ^ 4 8 dx.

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Q: 5. x sin 3) lim00 x+1

A: limx→∞x5sin5xx4+1=limx→∞ x5sin5xx41+1x4= limx→∞ x sin5x1+1x4 = limx→∞  sin5x1x1+1x4=limx→∞ 5…

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞…

Q: 2) lim (x – T)tan5

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Q: lim [r – In(4x + 7)] x→+0

A: To find the limit

Q: 65. lim (cos x)/

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Q: Find limit x appraoaches 0 log 10  ( tan2  x )

A: The given function is It can be written as Now, find the limit of the function when x approaches…

Q: sin(2Tx) lim x → 5 x² – 25 O 0.2000 T O 0.4000 ī O -0.4000 T -0.2000 T

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Q: t-1 Evaluate lim - Int - sinzt

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Q: 7 arctan(x) Calculate lim 0 x3 + 6x

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Q: 111. lim cos x -2

A: To find,

Q: 1 lim X→0 In(1+x) 1 Arctanx

A: Given The limit is limx→01ln1+x-1arctan x .

Q: te dt lim 0 x-0 sin x =?

A:

Q: lim - 1, avx + 3 – b x - 1 lim If score А. 4 D. В. 2 С. 1 E. -INI14

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Q: 1- cos(x/6) lim II

A: Solve the limit

Q: 3ei Express the limit as a definite integral on the given interval. lim E-1 Ax, [0, 1] 4+Xi

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Q: Evaluate

A: Given, limx→1+1lnx-1x-1

Q: Find the integral.

A: Given,

Q: eax lim x → 0 In(1+ bx) -ах e

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Q: sec x2-1 1

A: Given problem:-

Q: 44. lim sin² x x→n/4

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Q: Fin d the limit. lim 5x° メーッ0 Sin 3x tanx

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Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: Find the indefinite integral ∫x arcsin x dx

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Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

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Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: a Exponential limit Prove that lim (1 + e", for a + 0. %3D

A: Given limx→∞1+axx=ea, a≠0

Q: In(sin 4x) \ In(sin 8x) lim x → 0

A: We have to evaluate the limitlimx→0ln(sin4x)ln(sin8x)

Q: (1) lim,o In (sec x) 3x (2) lim, (tan x)*

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Q: d. lim h(x) Preview e. lim h(x) = x→00 Preview f. lim h(x) = 00--x

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Q: lim (s_)( stl 5+g?

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Q: Example. Sind Susface area of Z- S4-X2 above ২-

A: Recall:  Surface area, A=∫∫R1+zx2+zy2dA We have, z=4-x2,  R=[0,1][0,4]

Q: Evaluate: lim (1+2 sinh x)+25

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Q: lim log, (cosx) -3 t 2.

A: Here we can see that applying the limit, the limit does not enter into an indeterminate form, so we…

Q: Show using sequences of functions that 2 lim e dx = 0.

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Q: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

A: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

Q: 1 Evaluate: lim (1+2 sinh x)+20 x→+∞

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Q: 4). limn Jã X 00

A: Given, limx→+∞ x We have to calculate given limit.

Q: lim 0 coso

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Q: sinh x Evaluate lim et

A: We have to find limit of given function limx→∞sinhxex We know, sinhx=ex-e-x2 limx→∞sinhxex

Q: Find lim L(Sn(x – a)). You'll need L'hopital.

A: Using L'hospital rule

Q: 2 sin x-sin 2x lim х-sin x 3 O -3 6 -6 о O O

A: Given- limx→02sinx-sin2xx-sinx To Find- The valuie of the limit.

Q: 5 sin(6x) lim x→0 3x

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Q: 8 sin((k – 1)x) sin (2x) П ¤(ekz – 1) lim \k=2

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Q: 73. lim In(cos x)

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Q: 1000 In X d. lim+ X

A: Solution:-

Q: Evaluate

A: Our Aim is to evaluate the limit given below:-limx→0tan (2x)x-(i)