prove x/(x^2 + 1) is continuous at x = -1 using the definition of continuity
158888
Prove that the function $f(x)=\frac{x}{x^2+1}$ is continuous at $x=-1$.
53627
Proving continuity of $f$
88640
Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
72044
prove $x \mapsto x^2$ is continuous
155170
Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
95469
Suppose $f:[0,1] \Rightarrow \mathbb{R}$ is continuous and $\int_0^x f(x)dx = \int_x^1 f(x)dx$. Prove that $f(x) = 0$ for all $x$
87239
Prove functions defined by sup and inf are continuous
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
15914
Prove that any polynomial function is continuous
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
104369
If $f$ continuous and $f(x^2) = f(x)$, then $f$ is a const
61500
If f is continous and exist real numbers show that $f(x)=0$
131866
Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point