Is this argument valid as to why we can (not can't) reach the speed of light?Please do explain [closed]

Q:Why can we not touch the speed of light?

F=ma; m=m0/sqrt(1-(v^2/c^2))

As T increases,

1) If "F" is constant, "v" will keep increasing and slowly the mass will start increasing , thus making acceleration equal to zero at t=infinity.

2)If "F" increases along with "m", so as to maintain the acceleration constant, as velocity increases, mass increases and near the speed of light, "m" increases infinitely, so, "F" has to be increases infinitely to maintain constant acceleration.

The Point is this: First, the mass has increased by an amount to bring acceleration down.Then, F is increased be me, so acceleration goes up, velocity goes up and only after all this , the mass will get bigger.

That is, near the speed of light,

at t=0(say), apply more force t=0 , acceleration is increased, t=0+dt , velocity is increased t=0+dt+some more dt , mass increases

That is, the velocity has to attain a higher value first for the mass to increase., which implies, the speed of light will be touched before mass really becomes infinity, bringing acceleration then to zero.

So, have we not touched the speed of light?

Suppose you say that all changes are instantaneously done,i.e.,

t=0 F increases t=0 a increases t=0 v increases (unlikely) t=0 m has increased as well

Then, my force has produced an effect on the mass instantaneously and not with a delay of signal propagation,i.e., i have transferred information instantaneously, which is not possible.

So, theoretically, have we not reached( at least touched) the speed of light?

closed as off-topic by Danu, user36790, Daniel Griscom, Gert, John RennieJan 3 '16 at 14:59

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• The simple answer is that the energy of bodies with finite rest mass diverges when they are approaching the speed of light. Since infinite energy is not obtainable, neither is the speed of light for these bodies. – CuriousOne Jan 3 '16 at 8:55
• Thank you for your answer but please answer the question with respect to my argument, following my thought process. – Sidarth Jan 3 '16 at 9:26
• The point of teaching is not to lend support to the muddled thought processes of the student, but to guide him toward the clearest, most simple way of thinking about the subject. – CuriousOne Jan 3 '16 at 9:35
• Why is that so? Its like telling me " Your way of thinking is wrong because it is not simple enough" directly, without any thought given to how my thought process evolved or where I have gone differently (perhaps wrong) that led me to such a doubt. – Sidarth Jan 3 '16 at 10:20
• Probably relevant: physics.stackexchange.com/q/87047 – Kyle Kanos Jan 3 '16 at 12:25