3)- A large freight elevator can transport a maximum of 10,000 pounds (5 tons). Suppose a load of cargo containing 45 boxes must be transported via the elevator. Experience has shown that the weight y of a box of this type of cargo follows a probability distribution with mean u = 200 pounds and standard deviation o = 55 pounds. What is the probability that all 45 boxes can be loaded onto the freight elevator and transported Y; S 10,000 simultaneously? [Hint: Find P( ). (Central Limit Theorem)]

Q: b) Solve the limits of the following expressions. i) lim *-1 x→3 x+3' ii) x²+6x+9 lim x→-3 x+3

A:

Q: lim (1,1) J-

A: Hence,lim(x,y)→(4,4)x3-yy3-x=1

Q: Determine the following limits: (a) 42³-19z²+12z lim x 0 7x³-23x2-20x Number (b) 423-192²+12x lim x…

A:

Q: Q4: A) solve: 1+rsin 1) lim y-0 1+xcos

A: Given: limy→01+xsin1x1+xcos1x

Q: 3) Given: f(x) = x'-19x-10. a) Sketch a complete graph of the function and label all roots. (Show a…

A: The given function is fx=x3-19x-10

Q: 2x +k-x-6 13) Solve for k so that the following limit is true: lim = 7 x-2

A:

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

A:

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

A:

Q: Find the limit infimum and supremum of Xn=3-(-1)". Write the solution.

A:

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: Compute the following limit (if it exists). iz + 1 lim :→i 22 + 1 Hìnt: Write the denominator z2…

A:

Q: (cos n) Find the limit of the sequence an 47

A:

Q: A. Find the limit 3 x2-3x + 4 8. lim x→1 V 2x2-x-1

A:

Q: Evaluate the following limit: 2(х-1)у lim (x.y) → (1,0) (x- 1)3+y® Select one: None of the others.…

A:

Q: lim √3x²+6 5- 2x

A:

Q: please solve the limit and give an explanation on the steps 2x +8 x² – 12 x + 6 | lim x-6 if no…

A:

Q: 1. lim(3*-3 + 5) = 248 2. lim(125 + 2) = 7 x+5 3. lim()*-1 + = { 4 x→1

A: Since you have asked multiple question, we will solve the first 3 question for you. If you want any…

Q: 5. Show that the limit lim does not exist. 2-52-5 6. Show that the function f(2)= |z-2-3i² is not…

A: In the first question to  show that this limit donot exists approach z=5 through two different paths…

Q: Find the limit if possible. In(n*) an = 3n

A: since you have asked multiple questions, as per policy, only the first question is answered.

Q: Xn Xn=3-(-1)" Xn=cos () Xn=Vi+² Xnwhere (un) is bounded Xn=n(1 + (-1)") +n¹((-1)"-1) lim inf(x) lim…

A:

Q: (1+6i)z - 6 - 9i 2-2-3i =(1+i)z +4-3i 2 Má

A:

Q: Find the following limit: VI10_5 (x+3)2 lim0

A:

Q: lim X118 9x-3 sinx √√49 + 49+16x2

A: we use some standard formula of limit

Q: Find the limit 26 + 6° iz' lim z→6i z10 + 610 + 6°iz!

A:

Q: 4 + 9x ≤ f(x) ≤ 12 + x²

A:

Q: Find lim 2x sin using the Squeeze theorem. x-0

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.