calculus help again

if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the
limit x--->0 fo function f(x)/g(x)=

okay, so f(x)=sinx
g(x)=x
and the f(0)=g(0)=0 is also satisfied and equals o.

so the limit x-->o of sinx/x=

is the answer nonexistent according to the conditions of this problem because,

in my math book, it says the if you take the limit x-->o of sin(x)/x=1

are they like two different things. this is a mutliple choice question so o and nonexistent are included in the choices.

i hope you guys can understand what i'm saying. do i go with the book and say the answer is one or should i say the limit does not exist

You need to use l'hopitals rule to understand that its an indefinite derivative or something complicated like that.

You just need to know that sin (h) / h = 1 and cos (h) - 1 / h = 0

  1. 👍 0
  2. 👎 0
  3. 👁 191

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2

    asked by Binoy kumar mahato on October 6, 2017
  2. Calculus

    The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to

    asked by christina on November 24, 2013
  3. Pre-Cal (Trig) Help?

    The following relationship is known to be true for two angles A and B: cos(A)cos(B)-sin(A)sin(B)=0.957269 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. So I'm pretty

    asked by Giovanni on May 6, 2016
  4. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if

    asked by Hillary on September 24, 2009
  1. Calculus, please check my answers!

    1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 ***The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 ***2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 ***9 The

    asked by Samantha on October 7, 2013
  2. Math

    Explain how to do this with steps please. 1. Simplify cos(x-y)+cos(x+y)/cosx I did some of these so far, don't know if it is correct. Formula: cosxcosy= cos(x+y)+cos(x-y)/2 cos(x-y)+cos(x+y)/cosx =cosxcosy/2cosx

    asked by Jake on January 26, 2012
  3. trig

    Reduce the following to the sine or cosine of one angle: (i) sin145*cos75 - cos145*sin75 (ii) cos35*cos15 - sin35*sin15 Use the formulae: sin(a+b)= sin(a) cos(b) + cos(a)sin(b) and cos(a+b)= cos(a)cos(b) - sin(a)sin)(b) (1)The

    asked by Paul C on November 26, 2006
  4. Algebra

    Write an equation for the translation of the function. y = cos x; translated 6 units up A. y = cos x- ­ 6 B. y = cos(x + 6) C. y = cos x + 6 D. y = cos(x ­ 6) I think its B or c..

    asked by Veronika on February 23, 2016
  1. Studying for Pre Cal exam

    Find the fourth roots of − 1/2 + (square root)3/2 i Write the roots in trigonometric form. A - w 1=cos(35°)+isin(35°) w2 =cos(125°)+isin(125°) w3 =cos(215°)+isin(215°) w4 =cos(305°)+isin(305°) B - w1

    asked by Lottie on July 13, 2016
  2. Trig

    Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v - u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v

    asked by Nan on December 29, 2006
  3. Digital Circuits

    which is the primary purpose of a resistor in series with a led being driven by a flip-flop a. Limit voltage b. Limit current c. Limit speed d. Limit power

    asked by Makaila on May 31, 2015
  4. Calculus help, please!

    1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 9 The limit does

    asked by Samantha on October 6, 2013

You can view more similar questions or ask a new question.