Functions

Calculus Level 5

let y = f ( t ) y=f\left( t \right) be a function such that lim ⁡ t → 0 f ( 2 + t ) − f ( 2 − t ) t = 4 \displaystyle \lim _{ t\rightarrow 0 }{ \frac { f\left( 2+t \right) -f\left( 2-t \right) }{ t } } =4 .

Which of the following conclusions can be drawn from this data?

y = f ( t ) y=f\left( t \right) is finite y = f ( t ) y=f\left( t \right) is continious at x=2 Nothing can be said y = f ( t ) y=f\left( t \right) has to be discontinuous at x=2 y = f ( t ) y=f\left( t \right) is differentiable at x=2

Rishabh Deep Singh by Rishabh Deep Singh , 23, India

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1 solution

We dont know weather the f(x) is differentiable or continnious (not given in the question)

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