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  • Try this! - Limit , continuity and differentiability - JEE Main-5

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

  • Option 1)

    16

  • Option 2)

    25

  • Option 3)

    36

  • Option 4)

    49

 

Answers (1)

best_answer

As we have learned 

Limit of power -

Limit of power equals the power of limit provided the power function does not takes any indeterminate form.

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

Provided    \lim_{x\rightarrow a}f(x)  exist finitely end is non zero

- wherein

where k is non zero constant.

 

 When x approaches 2 then x^{2}+2  approches 6 so \lim_{x\rightarrow 2}(x^{2}+2)=6 ^{2}=36

 

 

 

 


Option 1)

16

Option 2)

25

Option 3)

36

Option 4)

49

Posted by

Himanshu

View full answer

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