Problems involving limits in calculus

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    Calculus Limits
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SUMMARY

The discussion centers on the evaluation of limits in calculus, specifically the limits of the expressions lim [(5^(n+1))+(7^(n+1))]/(5^n-7^n) as n approaches infinity and lim [sec x - tan x] as x approaches π/2. Participants emphasize the importance of attempting the problems before seeking help, as this is a common mistake among new members in homework forums. The conversation highlights the necessity of understanding foundational concepts in calculus to effectively tackle limit problems.

PREREQUISITES
  • Understanding of limits in calculus
  • Familiarity with exponential functions
  • Knowledge of trigonometric functions, specifically secant and tangent
  • Basic problem-solving skills in mathematical contexts
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  • Study the properties of limits in calculus
  • Learn techniques for evaluating limits involving exponential functions
  • Explore trigonometric limits, particularly those involving secant and tangent
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Angeline Ling
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Homework Statement


lim [(5^(n+1))+(7^(n+1))]/(5^n-7^n) as x→infinity
lim [sec x - tan x] as x → ∏/2
 
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Sigh. So you did not read the introductory material nor look at very many posts here. If you had, you would have realized: "This is perhaps the most common mistake that new members make. When posting homework, if you do not make any attempt yourself, then other people are not allowed to help at all! This holds particularly true in the homework forums!"
 

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