2) Find the following limits if they exist; otherwise report that they do not exist and explain why. (a) lim0 (1+h)²–1 (b) lim,→1+ (c) lim,2( + cos(7.x))

Q: Evaluate the limit.

A:

Q: lim tan- 4+7t 2-t

A:

Q: Evaluate the limit: sin(2x) cos(5x) lim

A: Given,           limx→0sin2xcos5xx

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

A: Given: To Find: Concept: 1. 2.

Q: 2 4. lim x-3+ \3-x 4 9-x2,

A:

Q: Find the limit. 15) lim V3 + cos2 x A) 2 16) lim (3 sin x - 1)

A:

Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: a) 1- 5x lim x→0 V1+ 2x² b) lim -x In(x) x→0+ c) sin(x) lim x→0 tan(x)

A: a) limx→∞1-5x1+2x2b) limx→0+-xln(x)c) limx→0sin(x)tan(x)

Q: Find the one-sided limit (if it exists).

A: Given: Find the one-sided limit (if it exists).

Q: 4. Find the limit if it exists. Use L’Hospital Rule where appropriate, give a reason. ae* – ae-* -…

A:

Q: Evaluate the limit sin 2x lim 20 7x

A:

Q: 5. Find the limit or show that it does not exist. sin(x – 1) lim 2 x→1 x´ + x -2

A:

Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: Find the limit. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.) lim 25.x2…

A: Find the limit of the sequence

Q: Evaluate the limit: lim sin(2x) cos(7x)

A: To evaluate: limx→0sin2xcos7xx

Q: lim 2tan (2.x) 3n 4

A: This is a basic limit problem

Q: 3. Use the precise definition of a limit to prove lim(9 – x) = 5

A:

Q: Identify ALL the Indeterminate forms involved and determine the limit of: lim, 0+ (cos(x))*

A: We know that               cosπ2-x≤1=cosπ2-xx≤1x So, bt squeeze theorem,               limx→…

Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

Q: Compute the following limits if they exist. secr - 1 (a) lim

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 5. Use the definition of limit to prove that lim[(x – 1)(sin x²)] = 0

A:

Q: Find the limits in Exercise

A: Given: limθ→π4tanθ-1θ-π4

Q: Determine the following limits analytically.

A: Given: The limit expression limx→π21-sin3xcos2x, To find: The value of given expression.

Q: Find the limit. lim (7 sin x- 4) X→0

A:

Q: 2. If it exists, find lim f(x) where X--1 x =-1 f(x) = { *x– 1)³, x+-1 4, If the limit does not…

A:

Q: Evaluate the limit sin 3x lim 9x

A:

Q: Find the limit, If it exists. 8 lim 9 cos 5x

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DI lim -0.2x sin x X--0

A:

Q: Find the limits lim tan-x X-

A: Solution: consider the given limit function; limx→-∞tan-1x Let  tan-1x = y⇒tan y = x when x → -∞…

Q: Find the limit, if it exists. sin(8x) lim х

A: The given limit to calculate is

Q: 4. Using the precise definition of a limit, prove lim (2x +8) = 38. x-15

A:

Q: Find the limit: lim cos(5log6(7^x)) x-> negative infinity

A:

Q: Determine the following limit: 17x sin(17x) - lim x →0 17x – tan(17x) -

A:

Q: *.. Find the value of Limit Below x² – 10x – 25 lim x-5 x2-4x- 5 3/2 O 7/3 O 8/3 1/6 O 2/5 Google Ps…

A:

Q: () limに)→(0.0)

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Evaluate the limit. 5 sin(x) – 5x lim x3

A:

Q: Find the limits lim x→1- sin-1x

A:

Q: cos 0-1 lim 00 40 4.

A:

Q: cos x – 1 + x² lim x4

A: Given: limx→0cos(x)-1+12x2x4

Q: lim(4x – 3) = 5 x→2

A:

Q: Use basic techniques to find the limits. 8. lim(-7) X-3 9. lim (x³ + 2x) X→-1 10. lim cos x

A:

Q: (e) lim e* ニD 2. (g) lim -X- www. indetern

A:

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: Find the following limit: 3. 1) lim (1--) x00 2) lim (Lnx) 3) lim (x² – 1)cos* X-1

A:

Q: Find the limit. 1 lim COS x-4 4

A:

Q: calculate the limit.

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.