either evaluate or explain why limit does not exist.lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??what is the logic behind how they are getting the numbers

# either evaluate or explain why limit does not exist.lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??what is the logic behind how they are getting the numbers

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

Related questions

Question

either evaluate or explain why limit does not exist.

lim f(x) as x --> 0 for (5 +2x+sinx) / (6cos x)

I did substitution (5+2(0) + sin(0)) / 6cos(0) = (5+0+1) / (6 * 1)....BUT the book had (5+0+0) / (6 * 1).....

struggling with why sin(0) = 1 and cos x = 0....as I thought when you find x the answer is y. so for sin(0) where x = 0 then why would this be 0? and same for cos(0) where x = 0, y would be 1 or -1??

what is the logic behind how they are getting the numbers

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

Step 1

VIEWTrending now

This is a popular solution!

Step by step

Solved in 1 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,