Calculus
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CALCULUS  need help!
Determine the limit of the trigonometric function (if it exists). 1. lim sin x / 5x (x > 0) 2. lim tan^2x / x (x >0) 3. lim cos x tan x / x (x > 0)
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Question: If lim(f(x)/x)=5 as x approaches 0, then lim(x^2(f(1/x^2))) as x approaches infinity is equal to (a) 5 (b) 5 (c) infinity (d) 1/5 (e) none of these The answer key says (a) 5. So this is what I know: Since
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I have a test soon.. and I really need to know how to do this problem.. please help!!! lim as x>0 sin^2(x)/tan(x^2) the answer is 1, but I have no clue how to get that! Use series expansions. Look up Taylor expansion on google
asked by Urgent on March 30, 2007

MathLimits
sqrt(1+tan x)sqrt(1+sin x) lim all divided by x^3 x>0 Use that Sqrt[1+x] = 1+ 1/2 x + 1/2 (1/2)/2 x^2 + 1/2(1/2)(3/2)/6 x^3 + O(x^4) You can thus write the numerator as: 1/2 [tan(x)  sin(x)]  1/8 [tan^2(x)  sin^2(x)] +
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Lim Tan^2(3x)/2x^2 X0 Find the Limit?
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Okay, i posted this question yesterday, however, I did not really understand the answer I received. If your the one who answered my question, could you please elaborate. If not, could you try to answer this tough, for me,
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