SOLUTION: How to solve this limit? {{{lim(x->0, (cos(2x) - cos(x))/(0))}}} Please explain Thank you

Algebra.Com
Question 1020705: How to solve this limit?

Please explain
Thank you

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'm assuming the original limit is



If so, then here are the steps
Step NumberExpression
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.


------------------------------------------------
Notes:

In step 2, I used the trig identity (see page 2 under "Double Angle Formulas")

In step 6, I broke up the limit using the limit law

In step 7, I used the special trig limit (scroll down to bottom half of the page)

From step 8 and beyond, I used the substitution rule and then evaluated/simplified to get the final answer of 0
------------------------------------------------

So in the end,


Final Answer: 0

RELATED QUESTIONS

Use the definition of limit to verify that: (1). lim x->3 (5-2x) = - 1 2). lim... (answered by solver91311)
Please explain how to solve this limit problem lim ->0 (e^x-1)/x I know my teacher (answered by solver91311)
Show that {{{(lim)x->0}}} {{{ ((x^2)/(x^2+9))cos(2/x) }}} exists. Please show the steps... (answered by solver91311)
Evaluate the limit lim x->-7 x=? Please explain how to solve this... (answered by farohw)
Cos 2x + cos x + 1= 0.... (answered by Alan3354,richard1234)
cos 2x + cos x =... (answered by Cromlix)
Having trouble understanding how limits questions like this work, could you please... (answered by solver91311)
evaluate the limit lim x/arctan(5x) x->0 is it 1? x=0 arcsin is... (answered by jsmallt9)
1. let f(x) = ((2x-1)^2)/(2x^2) find: a. lim x->∞ b. lim x->-∞ c. lim (answered by Fombitz)