Question

3.4

Can you show me the steps to solve the problem?

Directions: Find the limit or show that it does not exist.

13) lim t ->∞ (√t + t2)/(2t - t2)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Limits

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4 feet...

A: Click to see the answer

Q: What are the reference angles for the following

A: For the first image,

Q: please answer b (answer marked wrong)

A: Using information from part (a) we see that at x= (1/10)ln(1/9) there is a local minimum. 

Q: A typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19% is metabol...

A: Given that a typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19%...

Q: Find all critical points of the function f(x) 3x + 12x + 11. (Use symbolic notation and fractions wh...

A: |2x + 1| = 2x + 1 if 2x + 1 ≥  0 i.e. x ≥  -1/2|2x + 1| = -(2x + 1) if 2x + 1 < 0 i.e. x > -1/...

Q: Can you help with this problem step by step?

A: As per norms, the first three questions (of the multi-part problem) are answered. To identify the cr...

Q: Find the radian measures that correspond to the degree measures 260° and −155°. (I really just need ...

A: Click to see the answer

Q: Finding a Polynomial Find a third degree polynomia p(x) that is tangent to the line y = 14x - 13 at ...

A: Let p(x) = ax^3 + bx^2 + cx + dThis passes through (1,1) and (-1,-3) . For (1,1),  x=1 and y=1. For ...

Q: The velocity​ (in feet/second) of a projectile t seconds after it is launched from a height of 10 fe...

A: To estimate the height using numerical integration

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: f(x) = x4 − 50x2 + 6 x=5/rad(3), -5/rad(3)  Find The Y cordinates for both x cordinates

A: Consider the given function:

Q: see attachment

A: The domain of a function f(x) is defined as a set of values of x for which function is defined and t...

Q: Consider the following function. (If an answer does not exist, enter DNE.) 7 x2 f(x) = 1 + х (a) Fin...

A: A vertical line x = a is said to be the vertical asymptote of the cure y = f(x) if it satisfies the ...

Q: Can you help me step by step?

A: Click to see the answer

Q: 2. Microtutorial eled by the equation The Pacific halibut fishery has been mod- 8 x 107 B(t) 11 1 +3...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it...

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence neede...

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b...

A: Evaluate the following limit,

Q: Find the volume of the solid whose base is an isosceles triangle (with base 6 meters and sides 5 met...

A: Given a solid whose base is an isosceles triangle (with base 6 meters and sides 5 meters) and whose ...

Q: Problem 4: (a) Let f(x) = V+ x + 1 - Va4- 1. Show that f(x) = 0 has a solution. (b) Draw the graph o...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: What does the nth term test determine for the summation of (e^n)/(e^n+n) from 0 to infinity?

A: We are given the expression,

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u 

Q: For arbitray values of K and b, when does the maximum growth rate occur (in terms of K and b)? P(t)=...

A: Compute first derivative as follows.

Q: I need help find the domain, x-intercept, and vertical asymptote of the logarithmic function and the...

A: Find the domain, x-intercept and vertical asymptote of the logarithmic function and sketch the graph

Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Click to see the answer

Q: Find the derivative F(x)=x^3(x4/3 -1)

A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

A: To determine the instantaneous rate of change of q with respect to p.

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: To determine the inside, outside function and derivative of the function with respect to x.

Q: step by step on how to find the inverse of this function

A: Rewrite as follows.

Q: see attachment

A: Factor out 2. 

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval. 

Q: Express -x 2dx as aumit X eSS OF ngnt -hard Riemann Sums las the definition Of the indlefmite T cuva...

A: Given integral

Q: If f(x) = 9ex cos(x), find f '(x) and f ''(x).

A: Used product rule to find f'(x)Answer: 9(e^x)cos(x)-9(e^x)sin(x)

Q: Find the limit as (x,y)->(0,0) along the path y=x for x<0

A: Click to see the answer

Q: The height (in feet) of a certain kind of tree is approximated by h(t)= 120/1+180e-.34t where t is t...

A: The height of a tree in feet as a function of time t in years is as follow:

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

Q: The half-life of iodine-123 is about 13 hours. You begin with 52 grams of iodine-123.   (a) Write an...

A: Consider the amount of iodine(I) as a function of time(t).

Q: Differentiate the following function. y = (7 + sin(x))/(7x+cos(x))

A: Click to see the answer

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: Find the derivative.

A: Click to see the answer

Q: Find positive numbers x and y satisfying the equation xy=15 such that the sum 3x+y is as small as po...

A: Click to see the answer

Q: 3. For each of the functions below, find a formula for the inverse of f. ea (a) f(x) 1 2e* (b) f(x)I...

A: Part (a)y = ex/ (1 + 2ex)Hence, y(1 + 2ex) = exHence, y + 2y ex = exHence, ex = y / (1 – 2y)Hence, x...

Q: Problem 2 part A, B, and C

A: As per norms, three aspects of the question are answered. It is adivisable post multiplie parts sepa...

Q: A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the...

A: Probability density function is 

Q: Can you help with this problem step by step?

A: Given: -

Q: I need to find the answer using integration with polar coordinates.

A: Given:

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

A: Click to see the answer

Q: Determine the critical numbers, if any, of the function f on the interval [1,3]. = x 3 f(x) х Give y...

A: Given,