2. Find the indicated limits of the following algebraic and trigonometric functions: x' -1 а. lim. -1 tan a x +9 – 3 b. lim- a-0 sin (2a) с. lim X

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A: a⇔b implies if a holds then also b holds and vice versa.

Q: lim

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Q: 1. Consider the relation R1: R2 - R such that (r1, y1)R1 (x2, y2) if and only if both points are on ...

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Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

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A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper integral=limt→-∞∫tπ2tanθdθ=limt→-∞∫tπ2sinθcosθdθ=lim...

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Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

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A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

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Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: sin(2a)dx + cos (3y)dy 3 0, у(т/2) — п/3 ||

A: