Problems involving limits in calculus

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    Calculus Limits
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The discussion addresses the limits in calculus, specifically focusing on two problems: the limit of a function as n approaches infinity and the limit of sec x minus tan x as x approaches π/2. Participants emphasize the importance of attempting the homework problems before seeking help, noting that failure to do so can lead to restrictions on receiving assistance. The conversation highlights a common mistake among new members in the forum regarding homework submissions. Overall, the thread underscores the need for individual effort in understanding calculus limits before asking for guidance.
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!"
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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