Limits
(the database of solved problems)
All the problems and solutions shown below were generated using the Limit Calculator.
| ID |
Problem |
Count |
| 1501 | $$ \lim\limits_{x \to \infty} ~ \dfrac{2{\mathrm{e}}^{2x}+{x}^{5}}{{\mathrm{e}}^{2x}} $$ | 1 |
| 1502 | $$ \lim\limits_{x \to \infty+} ~ \dfrac{2{\mathrm{e}}^{2x}+{x}^{5}}{{\mathrm{e}}^{2x}} $$ | 1 |
| 1503 | $$ \lim\limits_{x \to 40} ~ {x}^{2} $$ | 1 |
| 1504 | $$ \lim\limits_{x \to 0} ~ 7{\cdot}\arctan\left({\mathrm{e}}^{x}\right) $$ | 1 |
| 1505 | $$ \lim\limits_{x \to 0} ~ \dfrac{{\left(x-3\right)}^{2}-9}{x} $$ | 1 |
| 1506 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1507 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1508 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)andi=i $$ | 1 |
| 1509 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1510 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)andz=s $$ | 1 |
| 1511 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1512 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)andd=d $$ | 1 |
| 1513 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1514 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)andu=w $$ | 1 |
| 1515 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1516 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1517 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1518 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1519 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1520 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1521 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1522 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1523 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1524 | | 1 |
| 1525 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1526 | | 1 |
| 1527 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)/**/and/**/dbms_pipe.receive_message(e,0)=e $$ | 1 |
| 1528 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1529 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)/**/and/**/dbms_pipe.receive_message(h,2)=h $$ | 1 |
| 1530 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1531 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1532 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)and/**/extractvalue(1,concat(char(126),md5(1467939393)))and $$ | 1 |
| 1533 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1534 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)and/**/extractvalue(1,concat(char(126),md5(1783363073)))and $$ | 1 |
| 1535 | $$ extractvalue(1,concat(char(126),md5(1790906845))) $$ | 1 |
| 1536 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1537 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1538 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)and(select1from/**/cast(md5(1666998291)as/**/int))0 $$ | 1 |
| 1539 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)/**/and/**/cast(md5(1887945473)as/**/int)0 $$ | 1 |
| 1540 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1541 | $$ convert(int,sys.fn_sqlvarbasetostr(hashbytes(md5,1182388220))) $$ | 1 |
| 1542 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)and/**/convert(int,sys.fn_sqlvarbasetostr(hashbytes(md5,1260031714)))0 $$ | 1 |
| 1543 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right)\() $$ | 1 |
| 1544 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1545 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1546 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1547 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
| 1548 | | 1 |
| 1549 | | 1 |
| 1550 | $$ \lim\limits_{x \to 0+} ~ -x{\cdot}\ln\left(x\right) $$ | 1 |
