lim x→-o 2 sin x

Q: The value of the limit lim is x-0 sin x а) 0 b) 1 1 c) d) ∞

A: Given options are wrong.  Limit will be e^(1/6).

Q: Find the limit, if it exists, or type N if it does not exist. lim(x,y)→(0,0)  4x^2/3x^2+2y^2

A: Find Limit

Q: Calculate the limit algebraically. (If you need to use co or -o, enter INFINITY or -INFINITY,…

A:

Q: Find the value of the given limit. lim I 0 tan(4x) I

A:

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 limit (if it exists). (If an answer does not exist, enter DNE.) 2 lim X→3+ x + 3

A:

Q: Find the limits lim e sin -!

A: Given

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 2√x lim CSC X

A: Explained below

Q: Find the limit. Or, say it does not exist (DN E). x- 3 2) lim X-9 X-9

A:

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

A:

Q: Evaluate the limit.

A: We have to evaluate the following limits- limh→0sin4h4h

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

A: Given limit is: L=limx,y→0,0xy4x2+y8 Let y = mx.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0 - t2 + t

A:

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

A: Squeeze Theorem:-If   fx⩽gx⩽hx  when  x  is mean  a, except  possibly of aand  limx→a  fx-limx→a…

Q: Find the limit, if it exists. 2. lim X - 00 4x + sin x

A:

Q: Evaluate the limit if it exists, or show that it doesn't exist: (x + 3) e"! lim (2,1)(0,1) y+1

A:

Q: Find the limit of the following lim  etan(x) x→  (5pi/2)-

A:

Q: 2. Find the limit of the following function sin(x? – 4) - lim x-0 x - 2

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

A:

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

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

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

A:

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

A: Answer(a): The given limit is: limx→∞e-x+3cos7x Now, apply the limit property…

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim tan-1(x4 – x*)

A: Given:

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.) x+y lim (x, Y) - (0, 0) x

A:

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

A: Find the limit

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x – 1 lim x- -0 x2 + 5

A:

Q: Use L’Hospital’s Rule to find the limit.lim x → ∞  e^2x − e^−2x / ln(x + 1)

A:

Q: Find the limit. lim (e-4t i - j+ sin(6t) k sin?(t)

A:

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

A:

Q: Find the limit. est - 1 lim t-0 sin(t)

A:

Q: Find the limit, if it exists.

A: First of all, use the limits property and apply the limits on numerator and denominator.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x + V x2 + 8x

A: Given

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: Find the limit if it exists, or show that it does not exist. lim (7,v)>(0,0) xª + 4y²

A: According to the given information, it is required to find the limit of the given function.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy4 (x, y) - (0, 0) x² +…

A:

Q: find the limit, if it exsits, or show the limit does not exist. lim (a2 * (1,y)-(0,0) sin²y)/(x² +…

A: Given:f(x)=x2 sin2(y)x2+2y2To find:We have to find the limit of the function

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5…

A:

Q: If xz? f (x,z) = x² + z4 Does limr2)a(0.0) f(x, z) exist? Find the limit if it exist.

A:

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

A:

Q: ........ ........ Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If…

A:

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 (x, y) → (3, –3)…

A:

Q: Find the limit. lim sin(9t) i+ e-tj+ 6k

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.