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synergix
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Homework Statement
Limit sin2x/x2
x->infinity
The Attempt at a Solution
0 because sin will never go above 1 or below -1 and x2 will approach infinity
am I right??
synergix said:Homework Statement
Limit sin2x/x2
x->infinity
The Attempt at a Solution
0 because sin will never go above 1 or below -1 and x2 will approach infinity
am I right??
The limit is equal to 1.
You can find the limit by factoring out x^2 from the numerator and denominator and then using the limit definition to evaluate the limit.
Yes, you can simplify it to 1.
The limit represents the slope of the tangent line at x=0 on the graph of y=(sinx)^2/x^2.
Yes, the limit is defined at x=0 because the numerator and denominator both approach 0 as x approaches 0.