For each item, complete the table of values and use the results to estimate the value of the limit. 1. lim(x² + 2x – 3) n+4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) V2x+1 - V3 2. lim- n-1 X-1 0.9 0.99 0.999 1 1.001 1.01 1.1 f(x) 3. lim vx + 3x + 6 n--2 -2.1 -2.01 -2.001 -2 -1.999 -1.99 -1.9 f(x)

Q: Find the limit. lim X+00 e

A: This problem can be solved by the L-hospitals rule as the given expression is in the form of ♾️/♾️

Q: (e) lim v-r + 20r – 100 +10

A:

Q: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

A:

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 х2-х-2 1-Vx 2. limx→1 1-x 2х 3.…

A: Part 1,Given,           limx→-1x+1x2-x-2

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) X + 4…

A:

Q: Q 2 Find the following limit if it exists: lim,+25 C 25 Vx-5

A: The given limit is

Q: Evaluate the limit: lim yr +6z +3 O-V3 b) 00 V3 d) OV19 -V19

A: Solve for limit

Q: Find the limit. 2 lim 1 x-0 00 O 2 O 000

A: Let,

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

Q: Find the indicated limit. *s (Vzr+ 2) lim X→-5

A:

Q: The value of the limit Vx-イーイ lim メ→ 2 メ-2

A: Given,  limx→2x-1 -1x-2  We have to find the limit.

Q: plot the function and use the graph to estimate the value of the limit.

A:

Q: Find the Indicated Limit Limh-0(4h5-20h2+2h+1)

A: Given, Limh-0(4h5-20h2+2h+1).

Q: 9. lim (e* + x)²/™ x48

A: Let's evaluate limit.

Q: For each item, complete the table of values and use the results to estimate the value of the limit.…

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

Q: Given: f (x) = 2x? – 3x +1 and g (x) = Vx + 6. Find the limit: lim,4 9 (f (x)). -

A: Given

Q: Vx+5-3 lim X→4 х—4

A:

Q: 10. /(6) = { fx3 +3 lx- 5, x 2 x-2

A:

Q: Find the indicated Limit Lim, 0 (4h - 20h + 2h+1)

A: As it is not an indefinite or undefined limit so just put the limit and simplify.

Q: Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an…

A:

Q: Determine the limit at infinity. - 9x? + 2x + 18 lim x-0 - 18x2 - 2x+3 O A. О В. 1 0 1 OC. OC. 5 2 O…

A: instantaneous velocity at x=1 is given by  : =f(1.001)-f(1)1.001-1=0.0005-00.001=0.5

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Find the limit.

A: To find the limits

Q: Find the limit. (If an answer does not exist, enter DNE. Vx + 6 – 4 lim x→10 X – 10

A: Given that  limx→10x+6-4x-10 find out the limit for the given

Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

A:

Q: Find the pointwise limit lim_(n→∞)(ex/n/n) for x ∈ R.

A: We find the pointwise limit  lim_(n→∞)(ex/n/n) for x ∈ R.

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A: use the l hospital rule for finding the limit.

Q: What is the value of the limit below? lim v1 – x

A:

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (6 -…

A:

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

A:

Q: b) lim (1 +2x)³A * x=0

A:

Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: Find the limit. lim (3x5 - 2x4 - 4x³ + x² - 5) x+-2 O -33 O -161 O 47 O -97

A: See the details solution in below

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.)   lim x→c+ f(x)

A:

Q: Find the limit, if it exists. lim x+ 00 ex O A. ex O B. - 0 O c. 0 O D. o

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Find the limit. 3x3 lim (x,y) →(1,-2)1+x2 00 0-12120 O 1 ula 0-1/105 O

A:

Q: What is the value of the limit below? lim v1 – x x→1+

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

Q: Evaluate the following limits and give the equation for any horizontal asymptote (if there are none,…

A:

Q: Find the limit, if it exists. 5tanx lim 7x O a. 5 7 Оb. 5 7. Oc. 0 O d. D.N.E

A: Given : limx→05tanx7x To find : Limit value of given expression if exists. Solution : Since the…

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (4 -…

A:

Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

A:

Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

A:

Q: V9 + h – 3 lim h→0 h

A: We have to find the limit:  limh→0 9+h-3h

Q: find the indicated limit  Limit as x approaches -4(x^2+2x+6) a)18 b)2 c)14 d) does not exist

A: This question is based on Limits.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.