WEIERSTRASS'S NON-DIFFERENTIABLE FUNCTION
WEIERSTRASS'S NON-DIFFERENTIABLE FUNCTION
WEIERSTRASS'S NON-DIFFERENTIABLE FUNCTION
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
316 G. H. HARDY: [July<br />
and that J2 and Ji tend to limits X2 and -A, the former of these limits, for<br />
example, being given by the formula<br />
wherein t = — T.<br />
Suppose next that T -* » . Then we have, in -£3,<br />
r-o(i) ^- dG 0{1)*<br />
G~0(1)' dn-~dt~a^ '<br />
log7=0(f2)' ¿log7=-^log7 = 0(¿)'<br />
uniformly for 0 ^= a ^= ß. Thus «A -* 0, and similarly Xt -» 0. Also -A<br />
and J3 obviously tend to limits X and
Change language