Sketch the graph of a function f that satisfies the given values:
f(0) is underfined `lim_(xto0)f(x)=4`,
f(2) = 6, `lim_(xto2)f(x)=3`

Sketch the graph of a function f that satifies the given values: f(0) is undefined lim_( x to 0) f(x)=4 , f(2)=6 , lim_(x to 2) f(x)=3

Sketch the graph of a function f that satisfies the given values: f(-2) = 0 , f(2) = 0 , lim_(xto-2)f(x)=0 lim_(xto2)f(x) does not exist.

Sketch the graph of a function f that satifies the given values: f(-2)=0 , f(2)=0 , lim_(x to -2) f(x)=0 , lim_(x to 2) f(x) does not exist.

Sketch the graph of an example of a rational function f that satisfies all the given conditions. (i) f(0)=0,f(1), lim_(xrarroo) f(x)=0,f " is odd" (ii) lim_(xrarr0^(+)) f(x)=oo,lim_(xrarr0^(-)) f(x)=-oo,lim_(xrarroo) f(x)=1,lim_(xrarr-oo) f(x)=1 (iii) lim_(xrarr-2) f(x)=oo, lim_(xrarr-oo) f(x)=3,lim_(xrarroo) f(x) = 3 , f(0)=0

In the function f(x) satisfies lim_(xto1)(f(x)-2)/(x^(2)-1)=pi evaluate lim_(xto1)f(x) .

If f is an even function, prove that lim_(xto0^(-)) (x)=lim_(xto0^(+)) f(x).

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.