Limx- x-1 10- x-2 10- x-100 10x10-1010 is

The correct option is C 100 lim _ x→∞ #160;( x+1 ) ^ 10 +( x+2 ) ^ 10 +....+( x+100 ) ^ 10 x^ 10 +10^ 10 =lim _ x→∞ #160;( x+1 ) ^ 10 /x^ 10 +( x ...

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Substitution Method to Remove Indeterminate Form

limx→∞ x+1 10...

Question

$lim x \to \infty \frac{{(x + 1)}^{10} + {(x + 2)}^{10} + . . . . + {(x + 100)}^{10}}{x^{10} + 10^{10}}$ is

100

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none of these

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Similar questions

lim x \to \infty \frac{{(x + 1)}^{10} + {(x + 2)}^{10} + . . . . {(x + 100)}^{10}}{x^{10} + 10^{10}}

lim x \to \infty \frac{(x + 1)^{10} + (x + 2)^{10} + \dots . . + (x + 100)^{10}}{x^{10} + 10^{10}}

The value of ${lim}_{x \to \infty} \frac{(x + 1)^{10} + (x + 2)^{10} + \dots + (x + 100)^{10}}{x^{10} + 10^{10}}$ is

\lim_{x \to \infty} \frac{{(x + 1)}^{10} + {(x + 2)}^{10} + . . . + {(x + 100)}^{10}}{x^{10} + 10^{10}}

lim x \to \infty \frac{(x + 1)^{10} + (x + 2)^{10} + . . . + (x + 100)^{10}}{x^{10} + 9^{10}} = 100

p (x)

lim x \to \infty \frac{p (x)}{q (x)} = \frac{l e a d i n g c o e f f i c i e n t s o f p (x)}{l e a d i n g c o e f f i c i e n t s o f q (x)}

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