Study this functicu Pex) =x² is it positive of negative o else • By using the first identification of the end of th function. Prove that Lim ( 3×-2)=4

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: a' + b' + c\!/r 9" - Vabe. Geometric mean Prove that lim 3 where a, b, and c are positive real…

A: Let Take natural logarithm on both sides.

Q: please show the indeterminate form and solve it by ( L'hopital's rule )

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Q: Suppose lim f1x2 xSa o and lim glx2 = ". Prove that xSa %3D lim 1f1x2 + glx22 xSa

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Q: 4-4e* lim xex Find: х-0 хех

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Q: Prove lim x³ X→3 = 27 using the 8, & definition of limits.

A: The δ-ϵ  definition of limits:      By the definition, limx→c f(x) = k if for any ϵ > 0, there…

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: Let ginl=√1+an To find: (i) g'(x) cliij Domain of g(x) Domain of gix. Q using definition @ g'xl lim…

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Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: Compute 4n — бп? lim Vlan| for a,n %3D 3n2 +7 n-00

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Q: e lim Secx-1 Sinx (-esux) 3}r® २5 ९६० 5x 2 lim ーD6 Sin5x of Sin4x. e lim メーD6 よ + tan 38

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Q: Q: find lim \-c०s2 2->০

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Q: Use the definition of limit to prove lim = 2x3 = 7. x-5

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Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: Prove using the formal definintion of a function that: limxto2 (5x + 5) = 15

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Q: 3. Find = {vati lim n (Hint: Use Squeez theorem). + ਜ √n²

A: Answer is 0.And attached below is the solution.

Q: tind lim X+8 -3 メ→ - メ+」 2. lim X+3 2. メ→ -3 ×+uメ+3

A: The given problem is to evaluate the given limits of a function, we have to check the 0/0 form then…

Q: Find all values of p so that lim x->2 (px^2+ 15x+ 15 +p/x^2+x-2 )exists

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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: Lim

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Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: It alo, byo, show that lim (V(N+ a)(N+b)). -N

A: for a>0,b>0

Q: 4. Show the IVT root on the function fix)=2x²2x²-3x+1 on [1,2] 5. Find i limx-√x+2-X -4x²-3x+10 16.…

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

Q: Suppose the sequence of numbers o, ₁,...,,... satisfies the difference equation 2k+1=0k+ where a and…

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Q: 8x³ – 5x? +17 lim 3 6x' + 2x² – 4x X00

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Q: Use the SQUEEZE THEOREM to evaluate lim x →+∞ 3 sech x+sin² x In x

A: Given,         limx→∞ 3sechx+sin2xlnx.

Q: Use algebra to evaluate the following limits. x-6 lim a) x6 3x² - 12x - 36 lim b) x-0 x² + 2x² + 7x…

A: Make the factor or cancel the term for finding the limits .