sin 0 = 1 to determine the limit. Use the relation lim 0→0 6 sin v40 lim V40 0→0 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. 6 sin 140 V40 O A. lim (Type an integer or a simplified fraction.) 0→0 B. The limit does not exist.

Q: Compute the following limits if they exist. sec r – 1 (a) lim z-40- 23 I – sin r (b) lim 1+0 x - tan…

A: L. Hospital RuleIf limx→a f(x)g(x) = 00 or v6c6 formThen differentiate f(x) & g(x) and take…

Q: tan 6x sin 3x B) Find the domain and the range of x2+y-D1. Q:1) A) Find the following limits : lim,0

A: We will find out all the required values.

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 0 lim 0 → 0 40 + tan 0

A: Given limit is in indeterminate form , just use the L'Hospital's rule and find the required limit of…

Q: 2.2 a) Prove that lim,-2(x +2x – 7) = 1 using the e- ô definition of a limit. b) Find lim,-2 arccos…

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: Find the limits, if they exist, or type DNE for any which do not exist. lim (4,9)(0,0) 4x2 + 2y2 1)…

A: our objective is to find the limit.

Q: Find the limit of the trigonometric function.

A:

Q: Use a graph to estimate the value of the limit. Then, use l'Hospital's Rule to find the exact value.…

A: Here, I am solving 1st two parts and for the remaining part please post the question again. Part A…

Q: Find the limit. j+ tan(5t) k sin?(t) lim e-6t i +

A:

Q: Find the limit. sin? 3t lim

A: Given: limt→0 sin2 3tt2=00 (Indeterminate form)By applying the L-Hopitals rule we find the limit of…

Q: Evaluate the limits, using L'Hôpital's Rule. Enter INF for o∞, -INF for -∞, or DNE if the limit does…

A: Simplification of limit by using l hospital rule

Q: Calculate the value of the limit below. Write your answer as a fraction in the form p/q in lowest…

A: In this question we have  limx→0sin 7x10x+(x2+1)(sin 10x)sin 7x here if we apply the limit directly…

Q: 2) Find the following limits if they exist; otherwise report that they do not exist and explain why.…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: How do I find the limit in the questions? I am unsure of how to do limits and applying trig stuff…

A:

Q: (b) Find the following limits. Do not apply L'Hospital's rule. x2-4 lim x+2 x-2 (i) sin (31) (ii)…

A: Explained below

Q: Use the identity sin 30 = 3 sin 0 – 4 sin' 0 to evaluate the limit, sin 30 – 3 sin e lim - 03

A:

Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

A:

Q: Find the limit. sin 7x lim 8x sin 7x lim (Simplify your answer.) 8x

A:

Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim 3x3

A: For evaluating this limit expression, we will use expansion of inverse trigonometric functions. Then…

Q: 8 - Evaluate lim (sin x)tan z a)0 b)1 c)e d) The limit does not exist e)none

A: Limiting value has been evaluated by introducing the function into logarithm on the exponent. L.…

Q: Q3. Compute the following limits if they exist. sec a - 1 (a) lim x – sin r (b) lim 20 x - tan r 2 –…

A: Q.3 part a) Substituting the limit in function, This is indeterminate form 0/0,

Q: (b) Find the following limits i. lim _(sec x – tan x) sin(2x) ii. lim x-0 tan-'(5x)

A: Given:

Q: Evaluate the following limit by direct substitution. Enter the exact answer. lim (2x – 1) = Number…

A: Plug in x=3 in the given expression.

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

A:

Q: (c) Calculate the following limit, e -I - 2+ cos a lim 20 2x Justify the steps in your calculation.

A:

Q: sin(60) lim 0→0 0 + tan(80)

A: Using the property of limit, value of asked limit is solved. sinx/x =1 at x tend to 0 tanx/x = 1 at…

Q: Evaluate the limit. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)  lim x→0 cot 4x sin…

A:

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. lim (e-4t i - j+ sin(6t) k sin?(t)

A:

Q: sin 0 = 1. Find the following limit using lim

A:

Q: | - sin X lim 1+ cos 2 x

A:

Q: 1. Find the limit of the following function sin 30.cot 50 lim 0.cot40

A:

Q: Can i get help with this problem step by step?

A: Given,

Q: sin 0 =1 to determine the limit. Use the relation lim %3D 040 sin 9y lim 19y

A: To find limy→0sin9y19y

Q: ..Find the limit of the following function sin 30.cot 50 lim 0-0 0.cot 40

A:

Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim x→0 2x3

A:

Q: (b) Consider lim tan(4z). -7z What does the numerator approach as z- 0 ? What does the denominator…

A:

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x…

A:

Q: Can i get help with this problem step by step?

A: Firstly, we multiply and divide by thita and then we use the result that limit of sinx/x =1 as x…

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

A:

Q: Find the limit using tables sin x (use radians) : lim -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01…

A: From the given problem: yx=sin(x)x So, At x=-0.1 y-0.1=sin(-0.1)-0.1=0.99833 At x=-0.01…

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: Evaluate the limit 3. Lim sin'a 9>0 sin a - tan a

A: Topic:- Limits Answer = -2

Q: Use the limit lim 0-0 sin e 1 to find the value of lim 0-0 1-cos 0

A: Given limθ→0 θsin θ=1⇒ limθ→0 θ1-cos θ=00

Q: 50. Use the identity sin 30 = 3 sin 0 – 4 sin 0 to evaluate the limit, sin 30 – 3 sin 0 lim - 03

A: Here we have to use the identity   sin3θ=3sinθ-4sin3θ to evaluate the limit,