2. Use a table of function values to estimate lim in3x sin 3x sin3x -0.1 0.1 -0.01 b. 0.01 -0.001 c. 0.001 -0.0001 d. 0.0001 h.

Q: Find the limit. y sin x limx.y)(0,1) O 1 8. O No Limit

A: Find the limit. lim (x.y)→(0,1) (y5 sin x)/x To select correct option  1 0 ∞ No Limit

Q: Use continuity to evaluate the limit. lim 4 sin(x + sin(x))

A:

Q: Compute the following limits sin5x (1) lim- x→0 sin10x

A: We have to find Limit of given rational function using L'Hospital Rule of (0/0 form).

Q: tan 3h 3. Estimate the value of lim,0- by creating a table of function values for h h = 0.01,0.001,…

A: We need to substitute these values of h in function f(h) to evaluate limit

Q: lim 4 x→0 2 1 +sin (2) cos sin

A:

Q: lim 4 sin(x + n) + 3

A:

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: et+ e-X-x2-2 d. lim- x→0 sin²x-x

A: Since there is the symbol of limit, hence limit of the function helps to find the answer to the…

Q: Find the limit of the trigonometric function.

A: Given: limx→π2sin x To Find: The limit of the given trigonometric function

Q: 8. e 1 Build a table to estimate lim x+0 X

A:

Q: Evaluate the limit: sin(5x) cos(6x). lim x→0

A:

Q: tan 3h 3. Estimate the value of lim by creating a table of function values for h h = 0.01, 0.001,…

A: Let y=tan(3h)h Then we make tables for the given values. h y 0.01 3.00090032412 0.001…

Q: sin xy lim 0.

A:

Q: Evaluate the limit sin 9x lim x →0 sin 3x

A: We can solve the problems by finding the value of the function at  the given limit.

Q: Find the value of each limit: 1- cos x а. lim x→0 x+x b. lim sin(x+ h) – sin(x) h h→0

A:

Q: (c) Prove the value of lim Sin 3a o Cos 4Do NOT use L'Hospital's Rule.

A: The given limit is,

Q: Find the limit of the trigonometric function.

A: Given: limx→56sinx we evaluating given limit, we substitute x=56 in given expression

Q: Evalute the lim sin5x/x(x-1) as x approaches 0.

A:

Q: Find the limit.

A: Given- x→lim0 sin3xx To find- the value of the above limit. Formula used- Using the standard form as…

Q: 9. Build a table to estimate lim sin (Hint: Use multiples of T) X-0

A: Given: To Find:   A table to estimate the value for the given function.

Q: Determine the value of the following limit. sinh(x) = x lim - x3

A: Given that limx->0 sinhx-xx3

Q: Evaluate the limit sin 8x lim I0 sin 3x

A:

Q: Use l’Hôpital’s rule to find the limits

A: Given that: The limit is limx→0+ 3x+1x - 1sin x .

Q: Find the limits

A:

Q: lim (sec x)cot x X-

A:

Q: Find the limits. sinh 3x 1) lim arctan 2x

A: We have to find limit

Q: Evaluate the limit.

A: We have to evaluate the limit: limh→0sin 9hh We know that limx→0sin xx=1 So making same angle of…

Q: Find the two limits: sin 2x lim r-T/2 COS x

A:

Q: Find the limit. sinx cos 4x lim x-0 x + x cos 5x A) 3 B) 0 C) D) Does not exist 4/5 -/2

A:

Q: b) sin (2x) tan (5x) Find lim- (Can't use L'Hospital's Rule)

A:

Q: TD - xs3もーな x sin"x Lim ×→の

A:

Q: Find the limit. sin(x – 3) lim х>3 x* + 5х — 24

A:

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

A:

Q: Find the limit tan (x) cos(3r) lim sin (2x)

A: Topic:- limits

Q: a. Graph h(x) = x2 cos (1/x3) to estimate limx-->0 h(x), zooming in on the origin as necessary.…

A:

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

A:

Q: Find the following limit limx→0 (1/sin x − 1/x)

A: limx→01sinx-1x=limx→0x-sinxx·sinx=0-sin00×sin0=00

Q: S (2t)*dt lim x→ =? х* — 1

A:

Q: Show that lim x sin l/x = 0.                   x→ 0

A: It is known that the absolute value of sine function is not greater than 1, then  -x≤xsin1x≤x

Q: By using The definilion of the D Lim x (X+1)= o 2) Lin x Cos

A: Given: 1)limx→0x(x2+1)=02)limx→0x cos1x=0

Q: Use l’Hôpital’s rule to find the limits

A: To find the limit, limt→0sin5t2t using l' Hopital's rule. Solution: The given limit is ,…

Q: Evaluate the limid lim X'sin t X→o sin x?

A: We have to find limit

Q: a) By graphing the function f(x)=(cos2x-cosx)/x2 and zooming in toward the point where the…

A: Graph: f(x)=cos(2x)-cos xx2f(x)=cos2x-sin2x-cos xx2

Q: S, f(x) dr may not equal lim , f(x) dx. Show that 2x dx x* + 1 diverges and hence that 2x dx ? + 1…

A:

Q: (2+h)* Use the definition of the derivative to evaluate lim h+0 h

A:

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

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.