Basic Mathematics Problems

Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Problem Question Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx…

Show that lim (x→4) |x-4|/(x-4) does not exist Problem Question Show that lim (x→4) |x-4|/(x-4) does not exist Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6)…

Evaluate lim (x→5) (e^x-e^5)/(x-5) Problem Question Evaluate lim (x→5) (e^x-e^5)/(x-5) Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0) (log(6+x)-log(6-x))/x Find…

Evaluate lim (x→0) (e^ (-x)-x-1)/x Problem Question Evaluate lim (x→0) (e^ (-x)-x-1)/x Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0)…

Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Problem Question Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0) (log(6+x)-log(6-x))/x Find…

Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Problem Question Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0) (log(6+x)-log(6-x))/x Find…

Evaluate lim (x→0) sin nx/x Problem Question Evaluate lim (x→0) sin nx/x Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0)…

Find the value of lim x→0 (e^x-1)/x Problem Question Find the value of lim x→0 (e^x-1)/x Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx…

Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Problem Question Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Topic Limit and its fundamentals Problems Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0) (log(6+x)-log(6-x))/x Find…