Question

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

284

likes

1419 views

Answer to a math question Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

$Expert avatar$

Adonis

4.4

106 Answers

$\lim_{x \rightarrow 4} \left(\frac{ \frac{ \mathrm{d} }{ \mathrm{d}x} \left( \sin\left({x-4}\right) \right) }{ \frac{ \mathrm{d} }{ \mathrm{d}x} \left( \tan\left({{x}^{2}-16}\right) \right) }\right)$

$\lim_{x \rightarrow 4} \left(\frac{ \cos\left({x-4}\right) }{ \frac{ \mathrm{d} }{ \mathrm{d}x} \left( \tan\left({{x}^{2}-16}\right) \right) }\right)$

$\lim_{x \rightarrow 4} \left(\frac{ \cos\left({x-4}\right) }{ 2x \times {\sec\left({{x}^{2}-16}\right)}^{2} }\right)$

$\frac{ \cos\left({4-4}\right) }{ 2 \times 4{\sec\left({{4}^{2}-16}\right)}^{2} }$

$\begin{align*}&\frac{ 1 }{ 8 } \\&\begin{array} { l }0.125,& {2}^{-3}\end{array}\end{align*}$

Frequently asked questions (FAQs)

Question: Solve for x: 3(x + 4) - 2(2x - 1) = 5x + 7. Isolate x to one side of the equation and provide its value.

What is the probability of obtaining exactly 3 heads in 5 flips of a fair coin?

Question: "Graph the exponential function f(x) = 2^x. Identify the y-intercept and the domain of the function. (

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?

30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m

Reparameterize the curve r(t)= cos(t)i without (t)j (t)k by the arc length.

The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?

I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?

Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?

If A and B are any events, the property that is not always true is: a) 0 ≤ 𝑃(𝐴 ∩ 𝐵) ≤ 1 b) 𝑃(Ω) = 1 c) 𝑃(𝐵) = 1 − 𝑃(𝐵𝑐) d) 𝑃(∅) = 0 e) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

Two minus log 3X equals log (X over 12)

A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;

The annual real property tax liability for a residential property is $4302 and has been paid by the seller in advance of closing. Using the 30-day month/260-day year method what will be the tax proration entry on the settlement statement round to the nearest dollar for a closing on Oct. 26 if the buyer owns the day of closing? a. $3525 credit to the buyer and $777 debit to the seller b. $777 debit to the buyer and $3525 debit to the seller c. $777 credit to the buyer and $777 debit to the seller d. $3525 debit to the buyer and $3525 credit to the seller *Can anyone help with this? I am studying for my real estate exam and am having trouble with some of the calculations :)

Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.

1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?

9n + 7(-8 + 4k) use k=2 and n=3

5a-3.(a-7)=-3

2p-6=8+5(p+9)

To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

Answer to a math question Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

You might be interested in