$MathMaster logo$

MathMaster

Home
general
lim x 0 2x 3 10x 7 5 x 3 4x 2

Question

Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

57

likes

284 views

Answer to a math question Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

$Expert avatar$

4.7

107 Answers

$\begin{array} { l }\lim_{x \rightarrow 0} \left(2{x}^{3}-10{x}^{7}\right),\\\lim_{x \rightarrow 0} \left(5{x}^{3}-4x\right)\end{array}$

$\begin{array} { l }0,\\\lim_{x \rightarrow 0} \left(5{x}^{3}-4x\right)\end{array}$

$\begin{array} { l }0,\\0\end{array}$

$\lim_{x \rightarrow 0} \left(\frac{ 2{x}^{3}-10{x}^{7} }{ 5{x}^{3}-4x }\right)$

$\lim_{x \rightarrow 0} \left(\frac{ x \times \left( 2{x}^{2}-10{x}^{6} \right) }{ 5{x}^{3}-4x }\right)$

$\lim_{x \rightarrow 0} \left(\frac{ x \times \left( 2{x}^{2}-10{x}^{6} \right) }{ x \times \left( 5{x}^{2}-4 \right) }\right)$

$\lim_{x \rightarrow 0} \left(\frac{ 2{x}^{2}-10{x}^{6} }{ 5{x}^{2}-4 }\right)$

$\frac{ 2 \times {0}^{2}-10 \times {0}^{6} }{ 5 \times {0}^{2}-4 }$

$0$

Frequently asked questions (FAQs)

What is the solution to the inequality: 3x + 5 < 20?

+

Math question: Two vectors A and B have magnitudes 7 and 4 respectively. If the angle between them is 60 degrees, what is the magnitude of their sum?

+

Math Question: Find the derivative of f(x) = 3sin(2x) - 4cos(3x) with respect to x.

+

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.

A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

90 divided by 40

Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)

Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.

Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.

Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?

The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is

What is 28 marks out of 56 as a percentage

Express the trigonometric form of the complex z = -1 + i.

17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?

The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.

4m - 3t + 7 = 16

For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.

Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.

f(x)= 9-x^2 find (f(x+h)-f(x) )/h