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  • I need help with - Limit , continuity and differentiability - JEE Main-6

\lim_{x\rightarrow 2}(2x-1)^{\frac{x+4}{x+1}} equals

  • Option 1)

    12

  • Option 2)

    9

  • Option 3)

    6

  • Option 4)

    3

 

Answers (1)

best_answer

As we have learned

Limit of power -

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


Where\:f(x)^{g(x)}\:does\:not\;take\:indeterminate\:form\:at\:x=a

- wherein

Where P is a non zero finite constant

 

 When x\rightarrow 2 then (2x-1)\rightarrow 3  and \frac{x+4}{x+1}(2x+1)^{\frac{x+4}{x+1}}= 3^{2}=9

 

 

 

 

 


Option 1)

12

Option 2)

9

Option 3)

6

Option 4)

3

Posted by

Himanshu

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