Concept explainers
0/0 form Evaluate the following limits using l’Hôpital’s Rule.
14.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
Calculus & Its Applications (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- The graph of h in the figure has vertical asymptotes at x = -2 and x = 3. Analyze the following limits. lim h1x2 b. lim h1x2 xS-2* a. im hix2 c. xS-2 d. lim h1x2 xS3 e. lim h1x2 xS3* f. lim h1x2 xS3 22 y 5 h(x)arrow_forwardWhich of the following limits can be evaluated using L'Hôpital's Rule? 3х-12 A.lim X→4 x2 +16 3х -12 B. lim x→4 x2 – 16 12х-3 C.lim X→4 X -4 X - 4 D. lim x→4 12x -3arrow_forward1. Find lim using X7x-7 a. Table of values 7. f(x) b. Limit rulesarrow_forward
- Evaluate the following limits: 2 lim 1. 3 2 2. lim x-5- (x – 5)3 = 3. lim x→5 (x – 5)6 4. lim 2-0 x2(x + 7)arrow_forwardQ4)A) Find the following limits (for two only). x+1 1. limx--1 x2-x-2 1-Vx 2. limx-1 1-x 2x 3. limx-0 2x2+xarrow_forwardy 6. = f(x) 4 2 1 + + 1 2 3 4 5 6. 7 8 9 Enter each answer as a whole number (like -4, 0, or 253) or DNE for undefined or Does Not Exist. f(9) = lim f(x) : lim f(x) = lim f(r) : 3.arrow_forward
- 1- Find the limits: Vx – 1 lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim х-3 (3-х)2arrow_forward6. Evaluate the following limits. x? -16 lim a. x-4 x-4 8x' – 5x +17 бх + 2х? — 4х b. lim - 49+h-7 c. lim harrow_forwardWhich of the following limits meet (or does not meet) the requirements to apply L'hopital's rule. Clearly explain your choice. e³x A. lim 2-00 52+200 B. lim ln xtan x x→0+arrow_forward
- Find the limits as x - 0o and as x - -00. y = f(x) = (3 – x)(1 + x)?(1 – x)4 lim f(x) = lim f(x) = X -00 Use this information, together with intercepts, to give a rough sketch of the graph as in the example. У -1arrow_forwardCS Scanned with Comscaner EVALUATE: A. Find the limit 1. lim (3x – 7) 5. lim (x3 + 8) x→5 x--2 2. lim (x2 + 2x – 1) 6. lim (x3 – 2x² + 3x – 1) x-2 X→-1 4x-5 x² – 5 3. lim x→5 5x-1 7. lim x→5 2x3+6 3 8x+1 3 x2-3x + 4 4. lim X→1 V r+3 8. lim x→1 V 2x2-x-1arrow_forward2. Find the limits using L'Hospital's Rule. State why L'Hospital's Rule can be applied: x-√3x lim- x-3 27-x3 ex - 1 limx-00 1 x lim x-0 x-sin(x) x3arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,