Calculus - limit

21

Shubhodip ·Jan 18 '11 at 9:11

using xâ†’âˆž lim (sin x)/x = 0

the answer comes to be 1

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pritishmasti ............... ·Jan 18 '11 at 9:18

i am not getting any answer

$\lim_{x\rightarrow \propto } \frac{x^{2}(1+sin^{2}x)}{(x+sinx)^{2}} \Rightarrow lim_{x\rightarrow \propto } \frac{x^{2}(1+sin^{2}x)}{x^{2}(1+\frac{sinx}{x})^{2}} \Rightarrow \lim_{x\rightarrow \propto } (1+sin^{2}x)$

plz tell where's my mistake

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21

Shubhodip ·Jan 18 '11 at 9:23

is my answer correct?

given expression can be written as

x^4 (1/x² + sin²x/x²)/ x² (1 + sin x /x )²

putting limits

x^4(1/x² )/x² = x² / x² = 1

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pritishmasti ............... ·Jan 18 '11 at 9:38

that is the problem...i don't know the answer

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