what is the limit as x goes to infinity of (1-(4/7)^x)/(7-4(4/7)^x)?

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: Find the one-sided limit (if it exists).

A: We will find the limit numerically  Let, x y -0.1 -5.0000025 -0.01 -50 -0.001 -500…

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given: Plugging the limit directly, we get:

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: Given: limx→2x-2ln3x-5 Here we get an indeterminate form, Therefore by using the L-Hospital rule,…

Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

Q: Show with the epsilon delta definition that the limit when x --> 4 of (x^3-8x^2+16x+4) = 4

A: we have to show with the epsilon delta definition that the limit when x→4 of x3-8x2+16x+4=4 as we…

Q: Find the one-sided limit (if it exists).

A: Given: Find the one-sided limit (if it exists).

Q: Compute limit as x goes to infinity of (square root(2x^2+3x-1))/(7x+1)

A: =limx→∞2x2+3x-17x+1multiply and divide by x2=limx→∞2+3x-1x27x+1x2=2+3∞-1∞7∞+1∞=∞

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: Find the one-sided limit (if it exists).

A:

Q: In terms of limits, what does it mean for ƒ to grow faster than g as x→ ∞?

A: Suppose we need to find out limits  And f(x) grows faster than g(x), Then denominator gets much…

Q: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: How do you evaluate the limit:  limx-->0  (sin(4x))/9x WITHOUT using L'Hospital's Rule?

A: A property:L'Hospital's Rule is not necessary here.The following is an important property used in…

Q: Use the limit definihon of the that gex)= derivative to show 9(x)= 3 3 has denvahre X+5

A:

Q: Find the limit. lim (5x + 4x + 3) X--3

A:

Q: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: Find the limit as x--> ∞ lim In x2 O 2x 00 8.

A:

Q: Express the limit as a definite integral on the given interval. n X;* -Дх, [1, 9] lim (x;*)² + 4 n-…

A: limn→∞∑i=1nxi*xi*2+4∆x,    1, 9 Here, fx=xx2+4, a, b=1, 9

Q: Evaluate the definite integral. ∫√3x+6dx upper limit of 1 and lower limit of 0

A: In definite integral, we first integrate the integral usually like indefinite integral then we put…

Q: Evaluate limit as x approaches 0 from the right of (1+x)cotx

A: Given, limit expression

Q: Compute the limit as x goes to 0 of [tan(x) - sin(3x)] / (x^2)

A: limx→0[tan(x)-sin(3x)]x2=[tan(0)-sin(3(0))]02=00

Q: Find the limits in Exercis

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

Q: If f is continuous on (-x, ∞), what can you say about its graph?

A: If f is continuous on (-oo oo) what can you say about its graph?

Q: What is the limit of (ln 2x+5)+4 as x approaches -1?

A: In the question it is asked to calculate the limit of following function given.

Q: 4 Find the limit: lim sin(x) (Enter undefined if the limit does not exist.)

A: The given limit limx→04x-4sin(x)

Q: What is the limit as x goes to infinity of (ln(x3 + 9) - ln(2x3 + 17x))?

A: Use quotient rule of logarithm to reduce the function as shown,

Q: Evaluate the limit as x approaches infinity of (x2 - ln(3/x)) / 4x2+6x

A:

Q: limit

A:

Q: Find the one-sided limit (if it exists).

A: Given: limx→0-sec x32x

Q: Only one of these calculations is correct to evaluate the limit lim (sinhx)*

A: See the details solution in below

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: compute limit as x goes to infinity of xe^-x

A: Given,            limx→∞x e-x

Q: Evaluate the limit numerically. x + 4 lim x--5- x + 5

A:

Q: How do you approximate a limit numerically AND graphically?

A: We always evaluate limits from both the left and right directions and if they match, then, the limit…

Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Q: Compute limit as x goes to infinity of (4x^3 +6x-2)/(3x^3 -2x^2+x+1)

A:

Q: Find the limit.   Lim x→∞             (1+2x)5/2 ln x

A:

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

A:

Q: Find the limit if it exists. lim (2x+3) X--2

A:

Q: lim x→0 for sin(4x)/3x

A:

Q: Calculate limit of (square root of x^2+x+1)-x as x approach to positive infinity. Thank you!

A:

Q: Write the integral 1 1dx -1 x2 as a limit.

A: To write the given integral as a limit.

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: Evaluate the definite integral by the limit definition. L₁x³dx

A:

Q: lim (x²Vx* – 1 – x*)

A:

Q: what is the limit of x^4 plus x^5 as x approaches negative infinity?

A: Evaluate the limit of

Q: 1. Use the limit definition to evaluate ,(2 – 3x)dx.

A: The given integral is ∫-122-3xdx

Q: Find the limits limx→∞(1 + 2x)1/(2 ln x)

A: Given, limx→∞1 + 2x12lnx We know that, limx→ac·fx=c·limx→afx⇒12limx→∞1+2x1lnx Now,…

Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.