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

Q: find the limit or explain why it does not exist

A:

Q: 5 tan(4x) x→0 3 sin(2x) Evaluate lim using L’Hôpital's rule.

A: The  L'Hopital's rule is: Suppose, f(x) and g(x) are two functions and their limit is given as:…

Q: Evaluate limx-->0 (sin 2x sin 9x)/(x^2) Without using L'Hospital's rule.

A: The given function is limx-->0 (sin 2x sin 9x)/(x^2)Use the expansion for sin x to simplify (sin…

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x- cos x (a) lim x/4…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Determine the limit: 12 x+ 1 tan(2 x) lim 3 sin(3 x) X- 0

A: Given limit: limx→012x+1tan2x3sin3x

Q: Evaluate the limit sin x/x as x approaches 0 when x = -1

A: We have to evaluate

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: Find the limit: Lim x->0  2 sin2 3x / 3x2

A: Given,         limx→02sin23x3x2

Q: Find the limit of the trigonometric function .

A: The given limit limx→0cosx-sinx-12x can be evaluated as, limx→0cosx-sinx-12x=cos0-sin0-12×0…

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

A: To evaluate: limx→0sin2xcos7xx

Q: Find the limit of * sin(6x) limx→0 sin(2x)

A: Given problem is :

Q: Find the limit. sin(0) lim e-0 60 + tan(8)

A:

Q: evaluate the limit.

A:

Q: sin(x – 3) lim X→3 + 6x – 27

A:

Q: Find the limits in Exercis

A: To evaluate: limx→0sin5xsin4x Solution: Given,limx→0sin5xsin4x On simplifying further we get:…

Q: Evaluate the limit (1 – cos x)² sin² . lim x2(1 – e)4 COS X - -

A: Given limit is : limx→01-cosx2sin2xx21-ex4  To find the value of the limit.

Q: Evaluate the limit: lim sin(7x) cos(4x)

A:

Q: How do you solve question 11 and 12?

A: (11)Given:

Q: 3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

A:

Q: compute limit as x goes to 0 of (sin(x)-x)/(x^3)

A:

Q: tan(x) 5. Compute the limit for lim x-0 sin(x) , and show by hand how MAPLE obtain the results.

A:

Q: sin 0 = 1 to determine the limit. Use the relation lim 0→0

A:

Q: how can the limit : limn→∞ (n sin(πn)) be rewriten as, limn→∞π sin(πn/πn/)

A: These two values are not equal

Q: Find the limit: (а) lim tan 3x x2 sin27x

A:

Q: sin(4x) lim x→0 sin(8x)

A: To find the given limit

Q: 1 If the given limit is lim(1 + sin x)tan x, Solve using l'hopital's rule and evaluate. (Show your…

A: Apply l hopital rule.

Q: Find the limit. lim sin(ax) . x-0 sin(9x)

A: If we plug x=0 in the limit then we get:

Q: Find the limit as x-->0 of sin(-3x)/sin(2x)

A:

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Evaluate the limit tan 5z lim I0 sin 2z

A:

Q: Q1- Evaluate the limit :- 1- lim - ( - cos) (1+ sin ) ) (1 + sin±)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: Topic:- limits

Q: Find the limit. lim x→4  sin(x − 4) x2 + 5x − 36

A: To Determine: find the limit of  limx→4sin(x-4)x2+5x-36 Given: welimx→4sin(x-4)x2+5x-36 Explanation:…

Q: . Suppose f(т/3) — 5, f (т/3) — —3,а sin(3та) 2->0 sin(5Tx) . Find the limit: lim

A:

Q: Find the limit or determine that the limit does not exist limx→2 (sin(pi/2 times x)/cos(pi times…

A: We have to determine whether the limit exists or not for the following expression…

Q: Use the relation lim sin 0 = 1 to determine the limit. 0→0 tan 3x lim sin 8x

A:

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

Q: Evaluate the limit. In x lim x -1 sin 8TX

A:

Q: lim e^(sin(2022n)), as n goes to infinite, should this limit exist or not?

A:

Q: Sin @ : L 1 to determine Use the relation lin the limit. tan 5x lim Sin Gx

A:

Q: Evaluate limt-->0 (sin 3t)/(sin 6t) WITHOUT using L'Hospital's rule.

A: The given function is limt-->0(sin 3t)/(sin 6t).

Q: lim as x→0 of sin(x4 )/x

A:

Q: find limit if it exists   lim as x->pi cos^2(x-tanx)

A: Given,

Q: Find Limit Using lim (sin 0)/0 = 1 Find the limit without using L'Hospital's Rule. sin 4t lim- t→0…

A: we use given identity and solve it. see 2nd step.

Q: 3. Find the limit or show that it does not exist. sin0 lim 0-0 tan 70

A:

Q: Evaluate the limit. sin (x) sec (x) lim 2х

A:

Q: calculate the limit.

A:

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,