Find `("lim")_(x->3)\ f(x),\ w h e r e\ f(x)={4,\ if\ x >3x+1,\ if\ x<3`

Find ("lim")_(x->3)\ f(x) \ where\ f(x)={4,\ if\ x >3 x+1, \ if\ x<3

Evaluate ("lim")_(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 , 0,\ x=0

Find (lim)_(x->1)f(x),""w h e r e""f(x)=[x^2-1, xlt=1-x^2-1, x >1

Evaluate the following integral: int_2^4f(x)dx ,\ w h e r e\ f(x)={7x+3,\ if\ 1lt=xlt=3 8x ,\ if\ 3lt=xlt=4

Evaluate the following integral: int_2^4f(x)dx ,\ w h e r e\f(x)={7x+3,\ if\ 1lt=xlt=3 , w h e r e\f(x)=8x \ if\ 3lt=xlt=4

Find lim_(xrarr0)f(x)a n d(lim)_(x->1)f(x),""""w h e r e""""f(x)=[2x+3, xlt=0 3(x+1), x >0

find lim_(x rarr3)f(x) where f(x)=4,x>3 and f(x)=x+1,x<3

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Evaluate the following integral: int_0^9f(x)dx ,\ w h e r e\ f(x)=sinx,\ 0lt=xlt=pi//2 w h e r e\ f(x)= 1 ,pi/2lt=xlt=3 w h e r e\ f(x)=e^(x-3),\ 3lt=xlt=9

f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim_(x->0)f^(prime)(x)[w h e r ef^(prime)(x)=(df)/(dx)]