Question

❖ᴏɴʟʏ ᴘʀᴏᴘᴇʀ ꜱᴏʟᴠᴇᴅ ᴀɴꜱᴡᴇʀ ᴡɪᴛʜ ɢᴏᴏᴅ ᴇxᴘʟᴀɴᴀɪᴏɴ ɴᴇᴇᴅᴇᴅ
❖ ɴᴏ ꜱᴘᴀᴍᴍɪɴɢ
❖ᴏɴʟʏ ꜰᴏʀ ᴍᴏᴅᴇʀᴀᴛᴏʀꜱ, ʙʀᴀɪɴʟʏ ꜱᴛᴀʀꜱ ᴀɴᴅ ᴏᴛʜᴇʀ ʙᴇꜱᴛ ᴜꜱᴇʀꜱ​

Answer 1

$\rm\lim_{x \to \infty } \frac{9}{ {x}^{2} + 1 }$

$9 \bigg( \rm\lim_{x \to \infty } \frac{1}{ {x}^{2} + 1 } \bigg)$

$9 \cdot \rm\lim_{x \to \infty } \frac{1}{( {x}^{2} + 1) }$

$9 \cdot \rm \frac{1}{( \lim_{x \to \infty }{x}^{2} )+(\lim _{x \to \infty } 1) }$

$9 \cdot \rm \frac{1}{( \lim_{x \to \infty }{x}^{2} )+ 1}$

0