1. Solve the following limits. (a) lim 1-- V1+ r2 x Inr (b) lim 2-0 I+ In r 2 + sec (3r) (c) lim z-/6 tan (3r) - 1

Q: A. Evaluate the following: NO Differentiation 1. lim(x³ - 2x² + 3x-1) x->2 2 lim (4 + 3r²-2r+5)

A: To evaluate the limit of the given function

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Q: C2. SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the limit of the function (I HOPITAL) sin(2x) lim…

A: Explanation of the answer is as follows

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

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Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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

Q: (iv) Find lim r 2ª – x² sin

A: Limits

Q: 3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

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Q: Find the correct end behavior diagram for the given polynomial function. f(x) = -x5 - 7x 3 - 4x + 1

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Q: (a) Find the following limits: x +2 sin kx (i) Lim x-2 (ii) Lim k is constant Vr +5 – 3

A: We need to find the given limits  L. Hopital's Rule if limx→af(x)g(x) is of the form 00 or ∞∞and…

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Q: 3. Find lim (1 – 2x)/x x -0

A: Explanation of the solution is given below.

Q: Q:Evaluate the following limits. (1) lim cos a)" +(sina)" -1 ',xe(0, Tt/2) x--2 X-2 (ii)lim cos a)"…

A: (i)      limx→2cosαx+sinαx-1x-2If we put x=2 in the limit, we get 00 indeterminent form.Therefore ,…

Q: 1f. lim (tanx)x x->0+

A: Given,

Q: (i) Determine the equation of the line tangent to y = f(z)=3-2x+z² at the point when z = -1. (ii)…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: (x² - 3) 7. Build a table to estimate lim sin x

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Q: iv. lim 1- Cos x X->0 v. lim tanx X->0

A: We want to find the limit of the given expression. If we substitute value of the x in expression…

Q: d. lim f(x) %D X-3-

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