Answered: (g) lim rV bx (h) lim (1+4) *

Math

Calculus

(g) lim rV bx (h) lim (1+4) *

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 41E

See similar textbooks

Related questions

Q: lim x→-0.5- Vx + 1

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: - «) lim (2 – ez x→0

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x<1. Calculation: We need to find the left hand limit of x=1…

Q: lim (In(x))½ ?

Q: x-1 numerically. Vx-1 Estimate lim

A: Using rationalization method.

Q: 1- V1– x2 с) lim x→0 [without using l'Hospital Rule] x2 -1- x – a? d lim x→0

Q: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

Q: x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

A: To check if the L'Hospital's Rule can be applied or not, first we need to find the limit by directly…

Q: 2х + x 1. lim

A: Consider the limit limx→02x+xx

Q: 2. f(2)-1(;) If f(x) = arcsin x, then lim is X- 2

Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 26. What is the value of lim A. - 2 B. - 1 1-cost t→0 t C.0 D. 1 - ?

Q: lim In(r) - 0t

A: Consider the given limit

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: 9. lim- x→0 3 - Vx+9

A: we use l hospital rule to evaluate the limit.

Q: Lim as h approaches 0=[5e^x - 5e^(x+h)]/[3h]=

A: Given: limh→0 5ex-5ex+h3h Basic concept: The definition of the first principle of the…

Q: (a) lim n-0 2 – ni x² – 4 (b) lim x + 4 x² – 4 (c) lim x – 2

Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

Q: 4 Find lim х — 4 Væ – 2 x→4

Q: Vx- 2 4. lim- x-2 x2 - 4 y-1 5. lim- Vy? +3 – 2

A: We can apply the limit to the expression by applying the limit as value for the variable in the…

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

Q: (a) lim x→2 arctan(7-3x)-" 2х-4 4 (b) 10-e5x lim x→00 16-x2

A: See the calculation and explanation below

Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: lim lnxln(x-1) = ? Use L'Hospital's Rule

A: Given limit:

Q: lim x approaches 0 (e3x-3x-1)/x2

Q: 3* –1 lim V1+x -1,

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here limx→1- f(x)=1 and limx→1+ f(x)=2 here limx→1-…

Q: x2 – 3x 4 - - Evaluate the limit: lim x → - 1 5х + 5

Q: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

Q: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

Q: Find the limits

A: To determine: limx→∞ x2+3+x

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: 5x b) lim lim-0 2ln(x+1) ex-e-x c) lim lim-0 2x x2-2x-3 d) lim lim-3 x-5x+6

Q: lim lnxln(x-1)=? Use L'Hospital's Rule

Q: b. lim -3 where c is some fixed real number. +x+c-2 x>e

Q: lim (2a +x) X-

A: We find the limit by substitution

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1. Prove using e-d definition. (d) lim (4x + 3) = 7 x→1 x2 – 9 = 6 - (e) lim x→3 x – 3

A: To prove the limit using epsilon-delta definition

Question

Expert Solution

Step 1

You have asked two unrelated questions in the same post. I have addressed the first one. Please post the balance question separately.

Step 2

Que - (g)

Let's call the limit as L.

As x tends to 0+; ln(x) tends to be undefined and x^(-1/2) tend to infinity

Hence, function under the sign of limit takes the form ∞/ ∞

Hence, L'Hopital's rule can apply, since this is of the form $\frac{\infty /}{\infty}$ .

Step by step

Solved in 4 steps with 2 images

Similar questions

What is the purpose of the Intermediate Value Theorem?
lim of fx/gx as x approaches -2 from the left and right.
Find the limit. lim x--> infinity e3x+5/4e3x+ex-7
If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?
Find the limit of lim((9+3x)1/2-3)/x as x approaches 0
When finding the limit lim x2 +5x+1/3-2x x-> infinity How do I find the limit?
what is the lim x->0 f(x)-f(0)/x^2 if f(x)=2x^2+1?
Investigate lim (1 + x) 1/x numerically and graphically. x➔0
Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2)
Find the value of lim x→-2π/3 sec(x+3π/2)-3.
find limx->3 g(x) (x+4)^2 < |g(x)-5| use sandwich theorem
using L'Hospital's Rule, what is limx->1+ (1/x-1) - (1/lnx)