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  • Help me understand! - Limit , continuity and differentiability - JEE Main-6

\lim_{x\rightarrow 5}(x^{3}-x^{2}+x)  equals 

  • Option 1)

    95

  • Option 2)

    100

  • Option 3)

    105

  • Option 4)

    110

 

Answers (1)

best_answer

As we have learned

Limit of Sum and difference -

Limit of sum and difference equals sum difference of the individual limits.
 

\lim_{x\rightarrow a}f(x)\pm g(x)=\lim_{x\rightarrow a}f(x)\pm \lim_{x\rightarrow a}g(x)

-

 

\lim_{x\rightarrow 5} (x^{3}-x^{2}+x)= \lim_{x\rightarrow 5} x^{3}- \lim_{x\rightarrow 5}x^{2}+\lim_{x\rightarrow 5}x

=125-25+5=105 

 

 

 

 


Option 1)

95

Option 2)

100

Option 3)

105

Option 4)

110

Posted by

Himanshu

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