Continuity in a Interval

Continuity in interval , Continuity at point function , Limit based continuity questions, Important points

Continuity in open interval and closed interval

Differentiability in an Interval

Questions to check continuity & differentiabilty in interval || Differentiabilty by graph

f(x)={[(srt(1+px)-sqrt(1-px))/x,-1<=x<0],[(2x+1)/(x-2),0<=x<=1]}is continuous in the interval [-1, 1], then 'p' is equal to:,0

f(x)={((sqrt(1+px)-sqrt(1-px))/(x),,,-1 le x lt 0),((2x+1)/(x-2),,,0le x le 1):} is continuous in the interval [-1,1], then p equals :

If the function f(x) {:(= 1+sin. ((pix)/2)", ..." -ooltxle1 ),(=ax+b", ... "1 lt x lt 3 ) ,(= 6. tan ((pix)/12)", ... "3 le x lt 6 ):} is continuous in the interval (oo,6) then : (a,b) -=

f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is continuous in the interval [-1,1], then p is equal to -1 (b) -1/2 (c) 1/2 (d) 1

The graph of the derivative f of a continuous function fis~ shown with f(0)=0, then for f(x) find (i) Intervals of monotonicity (ii) Intervals of concavity