Find the range of `y=(e^x)/([x]+1), xgeq0`

Find the range of y=(e^(x))/([x]+1),x>=0

The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-axis is________

The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-axis is________

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[2/(1+x^2)],xgeq0

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[2/(1+x^2)],xgeq0

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[2/(1+x^2)],xgeq0

Let f(x) = {-x^2 ,for x<0x^2+8 ,for xgeq0 Find x intercept of tangent to f(x) at x =0 .

Prove that the function f(x)={(sinx)/x,x<0x+1,xgeq0 is everywhere continuous.

Prove that the function f(x)={(sinx)/x,x<0x+1,xgeq0 is everywhere continuous.

Find the range of following functions: y=(e^(x)-e^(-x))/(e^(x)+e^(-x)),xge0