Related InterviewSolutions

• Evaluate `lim_(xrarr0)((3^(2x)-1)/(2^(3x)-1)).`
• Show that `lim_(xrarr2)(x)/([x])` does not exist.
• If `y(x)=|x|-3, "find"lim_(xrarr3)f(x).`
• Evaluate the following limits: `lim_(xrarr0)((1-cosx))/(sin^(2)x)`
• Evaluate the following limits: `lim_(xrarr0)(cos2x-1)/(cosx-1)`
• Evaluate the following limits: `lim_(xrarr0)(ax+x cosx)/(b sinx)`
• Evaluate `(i)lim_(xrarr0)((1-cos 4x)/(1-cos5x))` `(ii) lim_(xrarr0)((1-cosmx)/(1-cosnx)).`
• Evaluate `lim_(xrarr0)((1-cosx))/(x^(2)).`
• Evaluate the following limits: `lim_(xrarr0)(1-cos2mx)/(1-cos2nx)`
• For ` x in R , lim_( x to infty) ((x -3)/(x + 2))^x ` is equal toA. eB. `e^(-1)`C. ` e^(-5)`D. `e^(5)`