GATE CSE
First time here? Checkout the FAQ!
x
+2 votes
94 views

asked in Calculus by Veteran (11.7k points)   | 94 views

1 Answer

+4 votes
Best answer

cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... 
sin(x) = x/1! - x3/3! + x5/5! - x7/7! + ... 
cosh(x) = 1 + x2/2! + x4/4! + x6/6! + ... 
sinh(x) = x/1! + x3/3! + x5/5! + x7/7! + ... 
   sinh(x)-sin(x)=2x3/3!+......
cosh(x)-cos(x)=2x2/2! +.....
limx->0 ( sinh(x)-sin(x) /x(cosh(x)-cos(x))
limx->0  (2x3/3!)/x*(2*x2/2! )=2/3!= 1/3

answered by Boss (9.5k points)  
selected by
Why did you neglect the higher order terms in the maclaurin series expansion in the last step? Is it some kind of approximation we need do?
bcoz all of those becomes 0 during calc on x->0
Do you always follow this way with trignometric functions.
any other way to solve this instead of the series expansion?

Related questions

+2 votes
1 answer
1
0 votes
2 answers
3
asked in Calculus by Taymiyyah Loyal (3.3k points)   | 143 views
Top Users Jan 2017
  1. Debashish Deka

    9008 Points

  2. sudsho

    5326 Points

  3. Habibkhan

    4798 Points

  4. Bikram

    4676 Points

  5. Vijay Thakur

    4496 Points

  6. Arjun

    4244 Points

  7. saurabh rai

    4222 Points

  8. Sushant Gokhale

    3834 Points

  9. santhoshdevulapally

    3808 Points

  10. Kapil

    3752 Points

Monthly Topper: Rs. 500 gift card

19,237 questions
24,127 answers
53,273 comments
20,326 users