Get Beginner Calculus Help: Solving Limit Problems with Ease

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    Beginner Calculus
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SUMMARY

The discussion focuses on solving limit problems in calculus, specifically the limit as x approaches 7 for the function (sin(x − 7))/(x² + 2x − 63). Participants emphasize the importance of applying L'Hôpital's Rule and factoring polynomials to simplify the expression. The conversation highlights the need for foundational knowledge in calculus concepts such as limits and derivatives to effectively tackle such problems.

PREREQUISITES
  • Understanding of calculus concepts, particularly limits
  • Familiarity with L'Hôpital's Rule for indeterminate forms
  • Ability to factor quadratic expressions
  • Basic knowledge of trigonometric functions and their properties
NEXT STEPS
  • Study L'Hôpital's Rule in detail to apply it to various limit problems
  • Practice factoring quadratic equations to simplify expressions
  • Explore trigonometric limits and their applications in calculus
  • Review the epsilon-delta definition of limits for a deeper understanding
USEFUL FOR

Students learning calculus, educators teaching limit concepts, and anyone seeking to improve their problem-solving skills in mathematical analysis.

Murph84
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I realize this question will probably be too easy for people who are good at it.

But I can't figure this out.

I'm trying to find the limit for

lim x→7 (sin(x − 7))/(x2 + 2x − 63)

Sorry, I don't know how to make it look like the proper equation.

Thanks for any help...
 
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welcome to PF!

now what have you tried, or what relevant equations/theorems do you know?
 

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