Prove the limit below exists and find its value to 6 digits but replacing n for a large value and seeing when the 6 digit does not change anymore, this number is the famous Euler Constant, e. (Hint: Use the Binomial Theorem and the Monotone converge Theorem, but other approaches can also work) n lim (1 + (1+¹)" n→∞ n

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A: We have to translate the given statements.

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A: π1 = (1,2,7)+s(4,2,0)+t(k,1,2)  First need to find the normal of the planeIf the plane in the form…

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A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

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A: Follow the procedure given below.

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A: Average Velocity on a,b = s(b)-s(a)b-a.

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A: Given :u(x)=x36-∫0xx-tutdt

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A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

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Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: see below the answer

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A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

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A: Given curves are,

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