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Trig Limits

  • Thread starter planauts
  • Start date
  • #1
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
 

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