MEDIUM
12th ICSE
IMPORTANT
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Consider the function defined as follows for x0. In each case what choice of f0 will make the function continuous at x=0?

fx=1+x3-1x

Important Questions on Continuity and Differentiability

MEDIUM
12th ICSE
IMPORTANT

 

Examine the following function fx=x sin1x   ,  x0 0       ,  x=0  for continuity at x=0.

MEDIUM
12th ICSE
IMPORTANT

Show that the function fx=x+x-1xR, is continuous both at   x=0 and x=1.

EASY
12th ICSE
IMPORTANT
Is the function f defined by fx=x continuous at x=0 ?
EASY
12th ICSE
IMPORTANT
Is the function f defined by fx=x continuous at x=1 ?
EASY
12th ICSE
IMPORTANT
Is the function f defined by fx=x continuous at x=12 ?
MEDIUM
12th ICSE
IMPORTANT

Examine the function for continuity:

fx=x   ,  if x0x2  , if x<0.

HARD
12th ICSE
IMPORTANT

Examine the function for continuity:

fx=x+5,  if x1x-5,  if x>1

MEDIUM
12th ICSE
IMPORTANT

Examine the function for continuity:

fx=2x-1,  if x<232x    ,  if x2