f a real-valyod 38. Let ES IR,C be a limit point of E, and function with domain E.Suppose' fim' fix) = L #0. Prove if LJO, fk) Z>o on some deleted neighoorhood of C. 39.Let E ETR,c be a limit point of E, and fa real-valued function with domain E.Suppose an M>0 such that If(x)s M on some deleted neighborhood of C. e lim f(x) exists. Prove there exists メ-X

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A: Given,

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 1. 2. 3.

A:

Q: 75 17

A: Given triangle is right angle triangle :

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 62 a,b,c

A:

Q: 3) 24 12

A: We can find the value of x as below

Q: 1805

A:

Q: 9. 12 54

A: Will use basic trigonometry to solve this. Particularly we will use sine of x.

Q: 12 wikon 3.

A:

Q: 40 10

A:

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 57° 48 33

A:

Q: 15 10 24 15

A:

Q: 225 x 45= %|

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.