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If f(x) be a twice differentiable functi...

If `f(x)` be a twice differentiable function from `RR rarr RR` such that `t^(2)f(x)-2tf'(x)+f''(x)=0` has two equal values of for all `x` and `f(0)=1,f'(0)=2,` then `lim_(x rarr 0)((f(x)-1)/(x)-(t)/(2))` is

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