Trig Limits

  • Thread starter planauts
  • Start date
  • #1
planauts
86
0

Homework Statement


[tex]\mathop{\lim}\limits_{a \to \infty} \frac{sin(sin\ x )}{x}[/tex]

The Attempt at a Solution



I was thinking about starting off by multiplying by sin(x) over sin(x)

[tex]\mathop{\lim}\limits_{a \to \infty} \frac{sin(sin\ x )}{x} * \frac{sin\ x }{sin \ x}[/tex]


Don't know if that would help...

Thanks
 

Answers and Replies

  • #2
gb7nash
Homework Helper
805
1

Homework Statement


[tex]\mathop{\lim}\limits_{a \to \infty} \frac{sin(sin\ x )}{x}[/tex]

The Attempt at a Solution



I was thinking about starting off by multiplying by sin(x) over sin(x)

[tex]\mathop{\lim}\limits_{a \to \infty} \frac{sin(sin\ x )}{x} * \frac{sin\ x }{sin \ x}[/tex]


Don't know if that would help...

Thanks

What is a? Do you mean x? And (sinx)/x goes to 1 only if x is approaching 0. So I'm not sure this would work.
 
  • #3
zcd
200
0
[tex]-1\leq\sin(x)\leq 1[/tex], so the value inside the parentheses restricts the outside sin() function, while the denominator grows without bound
 

Suggested for: Trig Limits

  • Last Post
Replies
2
Views
370
  • Last Post
Replies
10
Views
239
  • Last Post
Replies
3
Views
371
  • Last Post
Replies
3
Views
307
Replies
5
Views
249
  • Last Post
Replies
8
Views
374
  • Last Post
Replies
22
Views
631
  • Last Post
Replies
4
Views
503
Replies
5
Views
337
Replies
16
Views
428
Top