Find the limit. (If an answer does not exist, enter DNE.) sin 8x lim

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin x lim x…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 4x lim X 0 sin 7x

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim Cos n-00 2n i= 1

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² sin2(y) lim (x, y)→ (0,…

A: To evaluate: lim(x,y)→(0,0)x2sin2(y)x2+8y2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (e-X + 5 cos(2x)) x- 00

A: Cosine is a period function,it does not approaches any values as x approaches to infinity.

Q: Find the limits

A: Given:

Q: Find the limit (if it exists). (If an answer does not exis lim t- 0 e4i sin(9t). + e-6°k 9t

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 3 3 lim (2 ||

A: Given function is: limx→0+3x-3x For right hand limit x will convert into x.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (eti + sin(5t); 5t j +…

A: We have to check

Q: Find the one-sided limit (if it exists). If the answer does not exist, state DNE) lim In( x2 – 36…

A: Explanation of the solution is given below...

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti+ sin(t)j + cos(t)k)…

A: The objective of the question is determine the limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

A:

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 3t lim t…

A:

Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not…

A: Given that: limx→∞(e-x+4cos6x)

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 2x lim X→0 sin 7x

A:

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 7t lim…

A: We need to evaluate limt→0sin 7t6tGiven function is of the form 00So, we shall apply L'Hospital…

Q: Find the limit (if it exists).. (If an answer does not exist, enter DNE.) lim + Sin(st)+e-7k Need…

A: Explanation of the answer is as follows

Q: Find the limit. (e-4t i + j+ sin(5t) k sin?(t) lim

A: We have to solve given problem:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

A:

Q: Find the limits. If limit does not exist, state it. In each part show your calcula;ons and circle…

A: Given:

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 4t lim…

A: First check which form this trigonometric function acquires at t=0.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ebti + Sin(9t)j+ e-6*k…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

A:

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin x lim x…

A:

Q: ху? lim xy? cos y (x, y)→(0, 0) x2 + y*

A: limx,y→0,0xy2cosyx2+y4Along…

Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) (x2 +…

A: Formula used:A function f(x, y) is continuous at the point (a, b) if,

Q: Find the limits

A: Limit: limθ→∞cos θ-1θ

Q: Find the limit, if it exists: 11 sin(x? + y?) lim (1,y) → (0,0) ² + y? (Enter DNE if the limit does…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti+ sin(t)j + cos(t)k)…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e2i + Sin(/e) j+e-k 7t

A: Limt-0 (e2ti+sin(7t)j/(7t) +e-5tk).

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim arctan(e*) X- 00

A: arctan(ex) is continuous everywhere for all x belongs to real number. Now as x tends to infinity,…

Q: Find the limit. cos(50) – 1 lim sin(78)

A: Given,            limθ→0cos5θ - 1sin7θ

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 9t lim t…

A: Limit t-> 0((sin 9t)/8t)

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

A:

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) x→−∞ (3x^2-1/x+8)

A: Topic = Limits

Q: Evaluate the limit. 3 sin? 2x lim х—0 8x2

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti + sin(t)j +…

A: Given that lim rtt→π=limt→πti+sin tj+cos tk   If the vector is of the form rt=gti+htj+ftk Then, its…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0  x6 cos(5/x)

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_(ti + sin(t)j +…

A:

Q: Find the limit, lim,-0 sin( Select one or more: a. Does not exist Ob. 1

A:

Q: Find the limits

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.