In(x-2) 1- Find , limx→2 In(x² -4)

Q: 1-z = ? What is lim %3D !- 2!- -2

A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: In x? c) lim- X-0 cotx2

A:

Q: prove limx->a 1/x = 1/a with epsilon-delta definition

A: We need to prove the given problem using the epsilon-delta definition.

Q: (b) Show that if lim sn = +o∞ and lim tm > -x, then lim($n + tn) = +0.

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Q: Prove that lim, = 1, (x > 0).

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Q: Use definiction to १r० v of Conkegene to lim n+4

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Q: xCosx-In(1+x)] х-Тапх, limx-ol limx-o[ a) х-Sinx c)

A: a ) given limit is as below:

Q: Calculate the limit limx→0lncosx3√1+x2−1.

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Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: Estimate the limit numerically for lim- x-4 x2-3x-4 3.9 3.99 3.999 4 4.001 4.01 4.1 x – 4 x2 – 3x –…

A: Given :   limx-->  ( x-4)/( x2-3x-4)

Q: What is lim In x? x→2

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Q: Show limx→∞ xne−x = 0 for all n = 0, 1, 2, . . . . To get started notice that when x ≥ 0, all the…

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Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

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Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Show that 2n lim n+2 = 2,

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Q: what is lim of x approaches -8 from the left of 7x+56/abolute value of x+8

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Q: lim (In w-

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Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

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Q: 4. Use the e, 8 definition to show that lim,- (4x + 5) = 9.

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Q: Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a…

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Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

A:

Q: メ-D4 xー12 In do torminate Form Lim | १ - 3

A: Given:   Limit equation is given

Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

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Q: ()- In(x) C. lim %3D

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Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: (i) Evaluate In (1-z³) lim 2->0 sin (2z

A: We need to evaluate the limit If the value of the function after putting the limit is in the…

Q: Evaluate the limit: cos²(x) – cos(2x) lim

A: We have to find the limit

Q: Let fn(x) = n²x²(1 – x) on [0, 1]. Does lim,-00 So fn(x) exist?

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Q: lim cas z is nonexistent

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Q: Calculate the limit limx→0cos3x−cosxx2.

A: To Determine: calculate the limit  Given: we have limx→0cos3x-cosx2 Explanation: we have a function…

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: Show that lim- e +1 does not exist. 1/x

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Q: 1 Find lim dt

A: The given data is: limx→∞1x∫1xdtt  To find the value of the limit.

Q: 4. Determine the infinite limit. lim In (x – 2) x-2+

A: Solution is here

Q: Show that the lim Z→0 |Z| does not exist.

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Q: Find the limit. lim In(x² – 1)

A: Given,

Q: find the limit limx -> 3 of [root(x+6) -x] / (x^3 - 3x^2)

A: To determine the limit of given function.

Q: 2 let fcx)=メミメ6, fiad X +2 a) limfcx) Xー72 bllim fcx) メー70 c) lim fex) メーフ3

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Q: 5, evaluate the limit. 2x3-x 5) lim X0 x2+3x-1

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Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

Q: Discuss the continuity of : Q1 x+ for *く0 for osr 2 Q2 1-x lim

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Q: 3-Vx2+9 Without using L'Hopital's rule, find: lim-

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Q: In (3t) lim t2

A: Given : f(t) = ln(3t)/t² To find : Limit of the function

Q: Compute the lim as x goes to 0+ (e^x - 1 - x)/ (xe^x - x)

A: we have to compute the limx→0+ex-1-xxex-x

Q: Evaluate limx=0 (e-ax - e-bx)/x

A:

Q: Calculate the limit limx→∞(1+6x)x.

A: limx→∞ (1+6x)x   = limx→∞ (x+6x2) = limx →∞ x + limx → ∞ 6x2 = ddx x + ddx 6x2 = ddxx + 6× ddx ×…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.