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  • Answer please! Which of the following is incorrect ? ([.]= G.I.F)

Which of the following is incorrect ? ([.]= G.I.F)

  • Option 1)

    When x approach zero , [x] has tendency towards zero

  • Option 2)

    When x approach zero , [x^{2}] has tendency towards zero

  • Option 3)

    When x approach one , x^{2} has tendency towards one

  • Option 4)

    When x approach \pi /2 , \sin x  has tendency towards one

 

Answers (1)

best_answer

As we have learned

Limit -

Limits describe the behaviour of a function  f(x)   as its variable  x  approaches a particular number.

- wherein

Let \:f(x)=\frac{x^{2}+x-2}{x-1}


as\:x\:approaches\:1

 

 For (A) When x approaches zero  from  left then [x] approaches -1 and on right it approaches zero so diffrent tendency it has 

(B) When x approaches either  left or right towards zero ,x^{2} will approach zero, from right side so [x^{2}]\rightarrow 0

(C) When x approaches one , x^{2} approaches one from both sides

(D) When x approaches \pi/2 , \sin x approaches one from both sides

 

 

 


Option 1)

When x approach zero , [x] has tendency towards zero

Option 2)

When x approach zero , [x^{2}] has tendency towards zero

Option 3)

When x approach one , x^{2} has tendency towards one

Option 4)

When x approach \pi /2 , \sin x  has tendency towards one

Posted by

Himanshu

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