Let $f:[0,\infty) \to[0, \infty)$ be a continuous function such that $\int_0^{\infty} f(t) dt <\infty$ then find the correct option
95429
If $f$ is continuous with $ \int_0^{\infty}f(t)\,dt<\infty$ then which are correct?
47211
Does $\varphi(x)\le\int_0^x\varphi(t)dt$ for all $x\in[0,\infty)$ imply $\varphi\equiv0$.
28413
Limit of a continuous function
69301
If $\int_{0}^{x}f(t)dt\rightarrow \infty$ as $|x|\rightarrow \infty\;,$ Then every line $y=mx$ Intersect $ y^2+\int_{0}^{x}f(t)dt=2$
44054
Evaluating the integral $\mathop{\lim}\limits_{n \to \infty} \int_{-1}^{1} f(t)\cos^{2}(nt) \ dt $
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
131992
A problem on continuous functions
144273
Find $\lim_{n\to\infty} \frac{1}{n} \int_0^\infty f(x) e^{-a_n x} dx$
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
124916
$f$ such that $\int_1^{\infty}f(x)dx$ converges, but not absolutely?
95970
Let $f:[0,1] \rightarrow \mathbb{R}$ be a continuous function. If $f(0)=f(1)$ then exists $x\in [0,1]$ s.t. $f(x) = f(x+\frac{1}{2})$
68165
Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
47498
Integration and theorems on continuous functions
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
127868
If $f$ is nonnegative and integrable then $F(x) = \int_{-\infty}^x f$ is continuous.
132223
Function whose image of every open interval is $(-\infty,\infty)$