If `x_1` and `f_i` are sufficiently small, then which method is an appropriate choice?

If x_i and f_i are numerically large numbers, then which methods are appropriate to use?

If f(x)a n dg(x) are two positive and increasing functions, then which of the following is not always true? [f(x)]^(g(x)) is always increasing [f(x)]^(g(x)) is decreasing, when f(x) 1. If f(x)>1,t h e n[f(x)]^(g(x)) is increasing.

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0

Let f(x) = |x-1| , then which of the following is true

Column I gives three physical quantities. Select the appropriate units for the choices given in column II. Some of the physical quantities may have more than one choice correct. {:("Column I","Column II"),("1. Inductance","(i) Ohm (second)"),("2. Magnetic induction","(ii) Coulomb"^(2)"(joule)"^(-1)),("3. Capacitance","(iii) Coulomb "("volt")^(-1)),(,"(iv) Newton (ampere metre)"^(-1)),(,"(v) Volt second (ampere)"^(-1)):}

Match the vegetative propagules listed under column I with the plants given under column I. Choose the appropriate option from the given choices.

A test consists of 10 multiple choice questions . In how many ways can the test be answered if (i) Each question has four choices ? (ii) The first four questions have three choices and the remaining have five choices ? (iii) Question number n has n + 1 choices ?