Calculus/Limits

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Question
evaluate limits
lim (sin(a+2x)-2sin(a+x)+sin a)/x^2
limx=0

Answer
Questioner:   sunita
Category:  Calculus
Private:  No
 
Subject:  please answer
Question:  evaluate limits
lim (sin(a+2x)-2sin(a+x)+sin a)/x^2
limx=0

Hi, Sunita,

You have told me nothing about what you are studying.  I have more than one way to do this, but I can't send one of them unless I know what you are studying -- exactly what level of calculus have you reached?  What do you know about limits by now?  Have you learned l'Hospital's rule?  

Please tell me and I'll send a followup solution.  

Calculus

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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(See above.)

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