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  • I have a doubt, kindly clarify. - Limit , continuity and differentiability - JEE Main-4

\lim_{x\rightarrow 2} \frac{x^{2}+5x+4}{x^{2}+5} equals

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Answers (1)

best_answer

As we have learned

Evaluation of limits : (algebraic limits) : (Method of direct substitution) -

\lim_{x\rightarrow a}f(x)\:defines\:by\:direct\:x=a


ex: \:\lim_{x\rightarrow 1}\:\frac{x^{2}+x+1}{x^{2}+x-1}=3

- wherein

Means at  x = a  f(x) defined.

 

\lim_{x\rightarrow 2}\frac{x^{2}+5x+4}{x^{2}+5}=\frac{2^{2}+5(2)+4}{2^{2}+5}=2 

 

 

 

 

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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