If \[\underset{x\to 5}{\mathop{\lim }}\,\frac{{{x}^{k}}-{{5}^{k}}}{x-5}=500\], then the positve integral value of k is [MP PET 1998]

If \[\underset{x\to 5}{\mathop{\lim }}\,\frac{{{x}^{k}}-{{5}^{k}}}{x-5

1.	If \[\underset{x\to 5}{\mathop{\lim }}\,\frac{{{x}^{k}}-{{5}^{k}}}{x-5}=500\], then the positve integral value of k is [MP PET 1998]
A.	3
B.	4
C.	5
D.	6
Answer» C. 5

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If \[\underset{x\to 5}{\mathop{\lim }}\,\frac{{{x}^{k}}-{{5}^{k}}}{x-5}=500\], then the positve integral value of k is [MP PET 1998]

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