find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -

Q: If V 16x <f(x)sx+4 for all positive x-values, then what is lim f(x)?

A:

Q: Find the second-degree Taylor polynomial T2(x) for the function f(x)=15+x2  at the number x=1.

A:

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

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Q: snip

A: Consider the rational function R(x)=x-1x2-4. Recall that the vertical asymptotes of a ration…

Q: given y= f(x)= 2^2-9x+20/x-4 Why is it not possible to apply the quotient limit theroem to find the…

A: Given function is:And the limit of x approaches 4. Hence, the limit is written as: Quotient limit…

Q: Along the path z= e find 2. lim (2,4)→(1,0) y-4zy 3x-y-3

A: Here, we have to reduce this limit to a limit in a single variable by using the equation of curve.…

Q: Find the potential rational zero of f(x)=5x^(4)+2x^(2)-6x-5.

A:

Q: question 5

A: The lead term of this polynomial is -x^7. So, f(x) will behave as -x^7 does on the ends.

Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: evaluate the limit:  limit of the square root of 1+t - square root of 1-t / t as t approaches 0

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Q: Find the limit. 7e - 7 V1 + t - 1 9. lim t t 1 + t

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 14y² lim (x, y) (0, 0)…

A: To find the limit of the function

Q: What is the nth Taylor polynomial of a function f(x) at x=c?

A:

Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

A: Asymptote of a function is a line the graph of a function approaches. Horizontal asymptote is a line…

Q: Find the limit. 5xz - 7xy P (1, - 1, 0) x2 + y2 - z2 lim %3D O 5 7/2

A:

Q: f(x) = x(3x-(9x2+2)1/2). Compute the limit of f(x) as x tends to positive infinity.

A: Given data:   The expression for the given function is f(x)=x(3x-(9x2+2)1/2).   The expression for…

Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 2x + 7 x3 – x² + x + 7 f(x)

A: Given that, f(x)=2x3+7x3-x2+x+7 Factoring out x3 on both numerator and denominator we get,…

Q: Find the limit. V17x + h – V17x lim h→0 h

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Let            fn(x) = nx/1 + nx2  (a) Find the pointwise limit of (fn) for all x ∈ (0,∞).

A: Given : fn(x)=nx1+nx2; To find the point wise limit of this function for given values of x: We have…

Q: Find the limit limit x tends to (1/2) 4x(3x+4)2

A:

Q: x2 + kx – 10 5. Find the value of k that would make the limit exist. lim f(ax) = x – 2

A: The given limit is limx→2fx=x2+kx-10x-2

Q: Consider the rational function f(x)=8x/x−5. a)As x→−∞, f(x)→ b)As x→∞, f(x)→

A: We have to find limit

Q: lim f(x) = 81 (a) VF(x) (b) [3f(x)] (c) [f{x)]²

A: Using rules of limits.

Q: State the domain of the rational function. 7x-6 f(x) = 4x +S OA (-*, *) O B. (-*, 2) U (2, ) Oc (…

A: Domain is defined as the set of values of x for which the function is defined.

Q: Find the Chebyshev rational function approximation of the function f (x) = e=* in N =6 (m=3 and n=3)…

A:

Q: Find the value of b-2a for which the limit ex – xex – cosbx - limx +0 exists 4 Select one: а. 3 b. 1…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: Find the asymptotes of the func 1 y = f(x) = x sin–

A:

Q: Find a second-degree polynomial f(x) = ax² + bx + c such that its graph has a tangent line with…

A: Plz like ? Given equation is-  f (x)  =  ax² + bx + c

Q: Find the vertical and horizontal asymptote(s) of f(x).

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: Find the polynomial f(x) of degree 6, 1/x which satisfies lim{1+ f(x)] =e? x3 X-0 and has local…

A:

Q: Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Find a third-degree polynomial p(x) that is tangent to the line y = 14x − 13 at the point (1, 1),…

A: Let px=ax3+bx2+cx+d   →1 be the required third-degree polynomial. Differentiating with respect to x,…

Q: 8 lim r→8 r2 8x Enter DNE if the limit does not exist. Limit =

A: Given limit:

Q: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where…

A: Given, f(x)=5x+87x+7

Q: Determine the value of a so that x²+ax +5 f (x) = has an oblique x+1 asymptote at y = x – 4| -

A: GIven f(x)=x2+ax+5x+1 has an oblique asymptote at y= x-4we have to find the value of "a".

Q: Given a rational function f(x)=n(x)/d(x), then f(x) has a vertical asymptote at x=c if:  A. n(c) =…

A: Answer is given below

Q: Evaluate the limit *dx – x – 4aª lim 3 A) В) 1 C) D) 4 E)

A:

Q: 16) what are the vertical asymptote(s) of f(x) = x+5x-6, %3D x² -1

A:

Q: 1. If the rational function y = r(x) has the vertical asymptote %3D x = 2, then as xr→2*, either…

A: Given: y=rx

Q: 13. Given the function f (x) = 2xv1 – x2. Determine the - c. Y intercept d. Vertical Asymptote(s)…

A:

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y)- (0, 0) (x +…

A: The limits of the function will give the value of the function near the point. The limit does not…

Q: Find the limit of (x3+x2)1/2sin(((2)1/2pi)/x) as x approaches 0

A: To find

Q: Find the Horizontal Asymptote(s) of f(x) = 1+

A: We have to identify the relative extrema according to the given information and find the horizontal…

Q: What is thr horizontal asymptote of q. q(x)=4x raised to the 3rd + 2…

A: Given that                                      q(x)=4x13+27x13-3x we have to find horizontal…

Q: find the indicated limit  Limit as x approaches -4(x^2+2x+6) a)18 b)2 c)14 d) does not exist

A: This question is based on Limits.

Q: Find the domain of the rational function. X-7 f (x) = x+9 Enter your answer in interval notation. To…

A:

Q: Find the limit as x approaches infinity of the function V2 – x2 h(x) х3 — х + 1

A: Given:  h(x)=2-x2x3-x+1h(x)=x2 2x2-1x31x3-1x2+1  (Taking highest power of x in the…