If f(x) is defined as
`f(x)={{:(x,0le,xle1),(2,x,=1),(20x,x,gt1):}`
then show that `lim_(Xrarr1) f(x)=1`

If f(x) is defined as f(x)={{:(x,0le,xle1),(1,x,=1),(2-x,x,gt1):} then show that lim_(Xrarr1) f(x)=1

If f(x) is defined as follows: f(x)={{:(1,x,gt0),(-1,x,lt0),(0,x,=0):} Then show that lim_(xrarr0) f(x) does not exist.

If f(x) is defined as follows: f(x){{:(1,x,gt0),(-1,x,lt0),(0,x,=0):} Then show that lim_(xrarr0) f(x) does not exist.

If f(x) is defined as f(x)={{:(2x,+,3,x,le 0),(3x,+,3,x,le0):} then evaluate : lim_(xrarr0) f(x) "and" lim_(xrarr1) f(x)

If f(x) is defined as f(x)={{:(x,0lexlt(1)/(2)),(0,x=(1)/(2)),(1-x,(1)/(2)ltxle1):} then evaluate : lim_(xrarr(1)/(2)) f(x)

If f(x) is defined as f(x){{:(x,0lexlt(1)/(2)),(0,x=(1)/(2)),(1-x,(1)/(2)ltxle1):} then evaluate : lim_(xrarr(1)/(2)) f(x)

If f(x) is defined as f(x)={{:(2x+3,x,le 0),(3x+3,x,ge 0):} then evaluate : lim_(xrarr0) f(x) "and" lim_(xrarr1) f(x)

Evaluate the left-and right-hand limits of the function defined by f(x)={(1+x^2, 0lex<1), (2-x ,x gt1):} at x=1 Also, show that lim_(xrarr1)f(x) does not exist

Evaluate the left-and right-hand limits of the function defined by f(x)={(1+x^2, 0lex<1), (2-x ,x gt1):} at x=1 Also, show that lim_(xrarr1)f(x) does not exist

Evaluate the left-and right-hand limits of the function defined by f(x)={(1+x^2, 0lex<1), (2-x ,x gt1):} at x=1 Also, show that lim_(xrarr1)f(x) does not exist