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  • If for a function <img alt="\mathrm{f(x), f(2)=3, f^{\prime}(2)=4, \, \, then\, \, \lim _{x \rightarrow 2}[f(x)]}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%28x%29%2C%20f%2

If for a function \mathrm{f(x), f(2)=3, f^{\prime}(2)=4, \, \, then\, \, \lim _{x \rightarrow 2}[f(x)]}, ([ ] denotes the greatest integer function)

Option: 1

equal to 2
 


Option: 2

equal to 3
 


Option: 3

equal to 4
 


Option: 4

does not exist


Answers (1)

best_answer

f will be increasing in a small neighborhood of x=2

so value before 2 will be less then 3 and after more then 3

\mathrm{ \lim _{x \rightarrow 2^{-}}[f(x)]=2, \lim _{x \rightarrow 2^{+}}[f(x)]=3 \text {. Hence limit does not exist. } }

Posted by

seema garhwal

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