Show that the series 8/(n⁴+x⁴) is uniformly convergent for all real values of x. n=1 to infinity .
since ∣8n4+x4∣≤8n4|\frac{8}{n^4+x^4}|\le \frac{8}{n^4}∣n4+x48∣≤n48 and series ∑8n4\sum \frac{8}{n^4}∑n48 converges, then series ∑8n4+x4\sum \frac{8}{n^4+x^4}∑n4+x48 converges as well
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