Question

lim x —>3= x+3 from ncert 11 th ​

Answer 1

Answer:

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ʕ•ε•ʔʕ•ε•ʔʕ•ε•ʔ

$\huge{\mathtt{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}\blue{!}}}$

☞$\displaystyle\sf\pink{limx_=3x+3}$

$\bigstar$$\huge\sf\red{LHD}$

$\displaystyle\sf\pink{limx_=3^-=2.9999+3}$

$\displaystyle\sf\pink{limx_=3^-=5.9999...=6}$

$\bigstar$$\huge\sf\red{RHD}$

$\displaystyle\sf\pink{limx_=3^+=x+3}$

$\displaystyle\sf\pink{limx_=3^x=3.00001+3}$

$\displaystyle\sf\pink{limx_=3^+=6}$

$\displaystyle\boxed{\sf\purple{Limit\: exists \:at \:x=3}}$

$\displaystyle\boxed{\sf\purple{LHD=RHD=6\: at x=3}}$