4. According to the following table, what is the limit of this function as x approaches 0? X -.01 -.001 -.0001 0 .0001 .001 f(x) 1.995 1.9995 1.9999 ERROR 2.0001 2.0005 limit does not exist 02 O2.005 .01 2.005

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A: Integration is done by dividing polynomial.

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A: Topic:- function

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A: A detailed solution is given below.

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Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: This question is based on dot product of two vector.

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A: The average value of a function f(x,y)  over  R={(x,y): a≤x≤b,  c≤y≤d}is given by1(b-a)(d-c) ∬R…

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A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

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A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

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A: cotx = cosx/sinx

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU…

A: To differentiate the functions.

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A: Solution of given question is written in below steps.

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