Why do limits have a strict inequality?
90153
Why does the definition of limits of a function have strict inequality?
100387
Using $\epsilon-\delta$ to prove that a limit is not a specific number
22423
Which infinity is meant in limits?
116811
Proofs with limit superior and limit inferior: $\liminf a_n \leq \limsup a_n$
125821
Evaluating limits at positive and negative infinity
101904
Why does this limit exist $x^{x}$
77239
Limit point versus limit and implications for convergence
45988
limit of Holder norms: $\sup\limits_{x\in [a,b]} f(x) = \lim\limits_{n\rightarrow\infty} \left(\int_a^b (f(x))^n \;dx\right)^{\frac{1}{n}}$
20816
Inequalities with assumptions and constraints
107367
Why does the definition of a limit of a function not appear in textbooks on general topology?
132264
Is there a (basic) way to understand why a limit cannot be brought inside of a sum, in certain situations?
98377
How can I prove this limit doesn't exist?
133191
Finding limit using inequalities: $\liminf \frac{a_{n+1}}{a_n} \le \liminf (a_n)^ {1/n}\le\limsup (a_n)^ {1/n}\le \limsup \frac{a_{n+1}}{a_n}$
109555
Real Analysis Riemann Integration - Strict Monotonicity for Integrals
103055
Proving the quotient rule for limits
1444
Prove/Show that Limit is equal to 0.
83130
How are these definitions of the limit superior and limit inferior equivalent?